IM Alg1.4.11 Lesson: Domain and Range (Part 2)
Which one doesn't belong?
[table][tr][td]A[/td][td]B[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
A child gets on a swing in a playground, swings for 30 seconds, and then gets off the swing.
[size=150][table][tr][td]Here are descriptions of four functions in the situation and four graphs representing them.[br]The independent variable in each function is time, measured in seconds.[/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][/size]
Match each function with a graph that could represent it. Then, label the axes with the appropriate variables. Be prepared to explain how you make your matches.
On each graph, mark one or two points that—if you have the coordinates—could help you determine the domain and range of the function. Be prepared to explain why you chose those points.[br]
Once you receive the information you need from your teacher, describe the domain and range that would be reasonable for each function in this situation
A tennis ball was dropped from a certain height. It bounced several times, rolled along for a short period, and then stopped. Function H gives its height over time.
[size=150]Here is a partial graph of [math]H[/math]. Height is measured in feet. Time is measured in seconds.[br]Use the graph to help you answer the questions.[br]Be prepared to explain what each value or set of values means in this situation.[br][br][/size]Find [math]H(0)[/math].
Solve [math]H(x)=0[/math].
Describe the domain of the function.[br]
Describe the range of the function.[br]
[size=150]In function [math]H[/math], the input was time in seconds and the output was height in feet. [br][br]Think about some other quantities that could be inputs or outputs in this situation.[br][/size][br]Describe a function whose domain includes only integers. Be sure to specify the units.[br]
Describe a function whose range includes only integers. Be sure to specify the units.[br]
Sketch a graph of each function.
IM Alg1.4.11 Practice: Domain and Range (Part 2)
A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground.
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ZYMQSJvMQPc64grv1IgZwXOOOOMJK8m55znJmmbCksLHJAARKzHssX85bieBkvaW4GlquA5lp7SlEqBm2++ubjuv/rVr6aKYlDhRsOSXFd18OSsyjRYqgqec+kpbSkVeNnLXqaPm0UKXAuWkWFm560KlqqCZ1dcSlCHCnz+858vrMvbb7+9w1j7GVUtWFL9Zp7HSW2XfezgURW8nxeuUt2eAsxIdP7557cX4EBDioYlFhg93lRZGWZT1m4Z+65211pWWZYaiN51aSi+3BT4yEc+4latWuV+9rOf5Za0rNITDUvgmHOPd5WqVbDUQPQq5XRsDAr84x//cMccc4x729veNobszpzHWrCc9zd4yCXQ5kuTNAfETngxCZYaiD7zdaMTB6bA+973PvfUpz7V/fGPfxxYztrLTjQsGVbDfJLzrGrTvsj0aUCO9MROeDEJlqqCt3chKaR+KwAkgSXQlCtXoBKWwIiJdm3BouO7N0tLS3v32THWKUFqbaazjIWcBEuq4LHWabl82isFhqMA1XCq41TL5fZVoBKWVLsn9XyX7U/ZG441GdsM8Jvf/Mb5C98e4WPz/r7PfOYzRd5irdN9pdMeKTAsBejgoaOHDh+5fRWohOW+3ue3hxnSqTbTGw80qY7zaYky99vf/tb5i8HS34eVfOSRR5adrn1SYLQKMISIoURy+yoQDUuqwbNUgfeNcrY9wBJAWlWftb1+OS3Esmo4HyVTFXyacjo+NgUYnE6tkcHqcisViIYlVWysOlxZ1dUGdyP0JItvZdT1tuzbO/5ZZfv84/Y/hCXpJ51U7eWkgBRYqcCGDRscr0HKrVSgFizpEGEBNKx9aNJTDrxsPGbb75EDNoYL+Y5qecxMQSEsSae+C+4rqf9S4FEFmFiDe/zb3/72ozv1z9WCJYCxYTtAyr6CSPUccc3V6Yyxc2LWVLv5FC5VcGAcO5QphCU9+oBWTgpIgXIF+Gzu61//+vKDI937KOGmCIDFGAKGjhbAxTEflgRlIJ0SbK3DxEUaiJcmAd+yrQrIh6WBvW3Ltyp+HZMCfVPgmmuucQcddJC75557+pb0ZOltBEssPYBVBssQnslyEBGwD0trWwW8clJACpQr8OCDD7qFhQV3xRVXlHsY4d5oWGKRUe3dtm1bMSB9cXGx2AaY69evLyxL6y0HoLFjIrvQ3IelDT3qIl7FIQX6rMBb3vIWd+yxx7o9e/b0ORutpT0alsRIWyTAxGqkmg0U2ccQHCw2wAlEaROkEyUX58OStMd0CuWSdqVDCsxLgTvvvLO41z/72c/OKwlZxVsLltNSDjCxKHMCJWk2WAJ2YGkW8LT86LgUGLsCfAHyzDPPHLsMRf5bhWWuihos6RxK0fGUa76VLinQVIHrr7++MDDuuOOOpkH1/vxKWGKBMbaRNQtV7KolV4vNYKm3dnp/vSoDc1Dg+OOPdxdffPEcYs4ryqmwpFoNBK3Thu1JC35ydMDyOc95TvGEpCouJwWkQLwCV111lTv88MPd/fffH3/SAH1WwnIo+QWWDIPIaTjTULRVPoavwH333Ve8sXf11VcPP7MVORwNLOnFt3fbK/TQISkgBUoUuPDCC0c/G1EtWFIdtzGVWGkMRsdR/WZ/rg7L8oADDujtd89z1VXpGo8CX//614ua2Y9//OPxZDrIaS1YMo6S9kra/fhvsCRM4JlzmyWwzLUDKigTbUqB7BT473//65797Ge79773vdmlrasERcMSMPrDboCmD8twu6sMxMRjbZYxfuVHCkiBcgWoir/4xS8uPziCvbVgCRDNhXAEpD48zV8Oa2C5du3aHJKiNEiB3ipw8803Z12DTC1sNCypwvpTovmwBJJUw7ucnIK3hWLhLFimvowU/hgU2L17tzviiCPc5s2bx5DdffIYDUvO5B1wJv2197+ZEZ2FfV2+4mhwjo1TsNyn3LVDCsykAN/oCSfhnimgHp5UC5bkz97/xpJkwcLscqA31iudS7y6KFj28IpTknutwA033FDc9zt27Oh1PmZJfG1YzhJJm+cwVhJgA8pJsNy1a5fzl4suusitWbNmxT6OP/LII20mTWFJgcEr8PDDD7tnPOMZ7oMf/ODg8xpmsFewxIK1geVVsGQsmL+cffbZbvXq1Sv2cVywDC8HbUuB6QrwGemXvvSl0z0OzEctWNqgdNosypaU4yyJmx5360SqgmVYRmqzDBXRthSYXYEvfOELRVX8V7/61eyB9PDMaFgCKWbtoY3SQBWuUw76Jl46lpaXl4uFpxsL29OcYDlNIR2XAvEKwAIm1uDjgWNy0bCkB9oflN61SMDSX0gLC/umOcFymkI6LgXqKfCa17zGnX766fVO6rnvWrCMAVNXephVGxOfYBmjkvxIgXgF6GQ98MAD3QMPPBB/Us99RsPS2gxzya9gmUtJKB1jVODee+8t2i2/+MUvjib70bBEEQBFbzTthNbR0gelZFn2oZSUxr4pcNJJJzneFx+Lq4Ql1W4bfB6zjn39sGtxBcuuFVd8Y1DgXe9616jmXKiEJUOBAGDskqu1KViO4dZVHrtWAC5gRI1ljstKWHYtfqr4BMtUyircsSvwrGc9y33gAx8YhQyC5SiKWZmUAmkUYAjRWL4rLlimuYYUqhQYhQKf+tSn3BOe8AT34IMPDj6/guXgi1gZlALpFACStFveeOON6SLJJGTBMpOCUDKkQF8VOOGEE9wll1zS1+RHp1uwjJZKHqWAFChTgI+YPf/5zy87NKh9guWgilOZkQLdK/CTn/ykqIqnnHWs+1ztG6Ngua8m2iMFpEBNBRYWFtyWLVtqntUv74Jlv8pLqZUCWSrAEKJXvvKVWaatrUQJlm0pqXCkwIgV+PCHP+wYoD5k10tY1m0b0Rs8Q76ElbccFOCeZAjRHXfckUNykqShN7Bkijg+ZcGXHZngg2+Yx07cIVgmuXYUqBRYocDjH/94d/XVV6/YN6SNXsHShyP/AWaMEyxjVJIfKdBMgVNPPXXQ7Za9gWVZMWL2xzjBMkYl+ZECzRTYtGnToNst42jTTMMkZ/NZ3EnfBNq+fbv71re+tXc566yz3JFHHrl3247pU7hJikaBjlSBr33ta4Meb9lLWDJv5rp16ya2We7Zs8f5y2WXXVZMUurvs/8jva6VbSnQugJ/+ctfClh+6EMfaj3sHALsHSwNlHwwKdapGh6rlPxJgWYKPO95zxtsu2WvYDkLKCl6wbLZDaCzpUCsAq997WsH227ZG1jOCkoKWbCMvdTlTwo0U+Daa68tquK//OUvmwWU4dm9gSVflTz00EOLsZaMt7QlpjouWGZ45SlJg1Rgx44dBSyB5tBcb2A56eNpDFaf5gTLaQrpuBRoTwFmTudd8aG53sCyifCCZRP1dK4UqKfAaaedNnFYX72Q8vItWOZVHkqNFOi9AouLi0VV/P777+99XvwMCJa+GvovBaRAYwW++c1vFrBkkPqQnGA5pNJUXqRABgrs3LmzgOV73vOeDFLTXhIEy/a0VEhSQAr8vwLHHHOMYwTLkJxgOaTSVF6kQCYKnHPOOe6II47IJDXtJEOwbEdHhSIFpICnADOnMyvYv/71L29vv/8Klv0uP6VeCmSpwPe+970ClsvLy1mmb5ZECZazqKZzpIAUqFRg165d7rGPfazbvHlzpb8+HRQs+1RaSqsU6JECJ554otuwYUOPUlydVMGyWh8dlQJSYEYFmEd29erVM56d32mCZYtlsnv3bsfsSF044nn44YeTR0U8XeSpq3j++c9/dpIfCoY8/f3vfx9tGV133XVFu2VdAegU6uKaszJ66KGHopIoWEbJFOcJWHbVoE0Dehew/PnPf+7uu+++OAEa+PrTn/7k7rrrrgYhxJ0KLG+99dY4zw193X777Z3A8he/+IX7wx/+0DC1009/4IEHXJ3PUP/gBz8oYHn33XdPD9zzASy/853veHvi/9aFLJ/uFSw9fbuaSEOw9ESv+VewrCmY5z1XWP7tb39zCwsLLmYaRS87xXCjWWFJOJdeeqk777zz3NLSkh9s6X/BMpBFsAwEqbEpy7KGWIHXsVuWyHH66ae7888/P1CmerOJZWkhn3vuuYVVy3RxVeAULE2x/18LloEgNTYFyxpiBV4FS+fe+ta3umOPPTZQpnqzDVgSgwGTwfEsZeAcFSx5B/Xwww+vXA488EC3atWqSj/Twog5/uQnP9kdcsghyeMhLcRDfDHpauLnSU96kjvssMOSx0MczITfJK0x56qMqu+VKg1nKaMnPvGJ7oADDqhdrm3dR8RtsPTXhI/FeeONN46nzfJjH/uYe//731+5vOQlL3FPe9rTKv1MCyPm+BVXXOEuuOCC5PGQlje84Q2OWV1i0tXED8M/3vGOdySPZ9OmTUVbU5O0xpx75ZVXFtXCGL9N/VBG7373u5NrR83p7W9/e/J43vnOd7pLLrkkeTxtlRFpfdzjHrcXlvvvv3/x/5nPfGZxrfGVhVFZltUG/f+Oqhoeo1K5H1XDy3WJ2atqeIxK+/ppoxpOr/iaNWv2gtIAGfbmjwqWfuZ5UvjbVgyCpSlRfy1Y1tfMzhAsTYl666awBJTr1q0rZj2iZ7yMCZaiUcASQWjAvemmmwoxEOXkk08u2vJo+/IFEizt0qi/Fizra2ZnCJamRL11U1gyVMm//6tiHzwsEQJQYkkCS3+SUY7ReMuTxVyXsPzhD39o0SZdE48GpdeXmEHpXZZRF2/w5DrOsn7p/O8MYNllGQ12UDoWJRYkoGQ56qij9nk16vLLLy/aKvCL6wqWs14cOk8KSIH8Fejd645YlMAQx/+ytwNuu+22ApascYJlIYN+pIAUaKBAr2CJJclYKbMYbR3m32Bp+wVLU0JrKSAFZlWgV7DcsmVLUQWfllnaMamem+sSlrSZToK4paeNNQ+OLpxZ513ERRzEl0o/wmaiE1tiOwGa5J04UsSDRpaPcN0kvVXnEmdX110KzaryZseq8tcrWFLtpr1ymsMfvePmgOWLXvQi20y2Jk4s31SA4WLlrQMeBOjAuqwZomkGLR46yiyeU045JRnELL08DFPqR9jkxxb/GrE0tLWmqYhRGRZXW+FaOMDEwrb1cccdV+hnftpacz1Q/oRPXFx3qWBGmfjXd5vxWD7IQ+i4j+x6Z10Wb69gaRdFmFF/G0EQm3WXjguJgiaNKWHpw9GaJaqehrNqgHXuO/IFzFI5Lk67GVPpByy7cICSvHR9DRIvhkLbLgyXa8MfbdJWfITr68Y1wb3chrOwygwu7h8AafeR+Q3j7ebqCWOdcdsst6qLED8+UGaMqvZpCIxLCcuyRHUVH7py06Ry3CRAMlV+uBGIowvn33hdxGdxpIqXcqf8zU2CiR2fdV12jbV1PZBmFrvG/DRiBIQPGbsefX+9giUZxTqYdNOS6XmA0he0rcL1w5z0n4cGN0jVw2PSuXX2oztPeHvy1jk3xi/laWWaSj/ycPTRR7vFxcVi2bZtW0zSavvhhjRobd26tYgrlW5+4rju/fHG/rGm/0k/5U9+0BGrMqx5NI2D8/3rwMIjT3Zt2L4ma9LPNea7SfGGNalewZIM8gQAmOvXry8auLk4meST/Qgxb5fqZi/LV9sXUhgHeUFr2t6ATApHmfkWXyr9eKBwU3CTcxMQT4qqJPkBypSNxQVouE5TOuJIef0DY64Flo0bNybJCuknH9zPlBdwJr4QWk0iJw7K3ndl91EZQHsHSzKJeGSQTAPJeVuTvvCpbnY/Dv6Tb5YunFVh23zCk25uCEDpW15d6Uf8KQBjN7xfLlyvKcuK699/4Phxt/HfwqecWLj36GhM4XjAcA2wEG/b10MZLMvASHmF13svYZmikNoKs+3CLUtXl6C0+MsuMjs265owzVoJ1+iY2hFH29XJMp3K9rWZN/KR0mAoa7+jqSG1tYxGPND8h2lT3crKAij6bbLEUXZtCJZN1Q/OR2QKJJWbByjJi1nzqfJl4abSL2zX5UZv+0a0PBCuD1NQWiMAAAYmSURBVBJuxPBmNL9N11xrxJfSheBAS5pm2oRYWfpTWORlsCQfaGjXCGse3rZtaRMsTYmW1qludpLHxUMhMubNX9q+EbmgaM+zzhCqXF1ZEqn0QzvaEk038pPKGsNa5eZDP9r3/BuxpctsbzDoRd5SOvKDXuSFPKFhqmYFrDyLg7yFwGqazzJYEib5IV/EzXVSdm0Ilk3VD87Homi7gC0KnoAUdrj4Voz5bbomTG5CFuLrynWlX+r8UFbccIAm1fVAHiiblOGbTuSHvHA9pLjeLB40Y0l1zaHVpPQTJ3FPOi5YWilpLQWkgBSoUECwrBBHh6SAFJACpoBgaUpoLQWkgBSoUECwrBBHh6SAFJACpoBgaUpoLQWkgBSoUECwrBBHh6SAFJACpoBgaUpoLQWkgBSoUECwrBBHh6SAFJACpoBgaUpoLQWkgBSoUECwrBBHh6SAFJACpoBgaUpoLQUyUKCr1xczyGrvkiBY9q7I8klw2dRdXaaO93yZ+KCLd6O7yhcTpcS8F8272uRdrjsFBMvutO51TGUzGzEJLDftvBxpYmaaIblYWJJn8h5OUDskLXLLi2CZW4lkmB5mm8kNSkAasEyaISZDGaOSVAeWWKD4H5JlHSXSnDwJlnMSvi/RMiUX8/sx2avNBWmAAqD2n/ywDcSY/xL/nGdVRSwgtlk4Ht7gbPNdJY7bXJpVGmFVhp9SAOqEYXHz308fcRA34bMwP2OYDtLPeRy3PPt+0AMdSCdr4vQdU3yRNkDGcWDGuuwDafi1sIjTHgB+NRzd/HBC7ZgrkzTJpVdAsEyvca9jADZMjGrtk9zIBo/QCmKbm9fmI+QmNlgQBucCF8LyJ48lPMAU+imr+puYhOFXQQ00xEk8LPxnvznOoenAjrMNpMxZOnw/5MUc8TEJLnkgDI6x7cMKP+SFsM2f6cA55uxc0wq/aOdrynnss3BY+3kmLDTLzeq3PA5tLVgOrUQT5IcbtOyG9G9somU7BBznccP7DghgmZljG7j4DjAQnoHZP8Z/juHHHCCq8g+UwnQYYM36JO2hHwvf/PpxcoxwgaM5tCIdPqQ5hg4+6IjH37awONegynH/oWJx+Gvi5xy59ApI5fQa9z4GbtpYWNqNbpnmPCw13xnYbB9+rOpNtZ2FKrIPDvNr6/AYUAW4QJgqbwhZQMgxC9/WhGMADIFmcbEO02zHiMdPC1qxHTpfh/Ac82txmIZAHMuVarjtM7+2tnNsW+t0CuxbquniUsg9VaApLDnfd+ENDkiwtFiHi1l9/vns8wHlH7OqK9YeQDRXFQfWGQ7Yhmm1883StW1/7aelCpakAWf5L8ubHxZ+sVABPdAE9iE0LSw/PfqfRgHBMo2ugwo1NSyxPKdVN0NBQ6iEx4Gb354IcAxWoV/b5vgkWE6CklXPDWIxsCS+svRbHBaWpYs11qiF7Vfx7Rzfr/6nUUCwTKProELlJqWaHLrwhg+38V8GoPAGt3a/sOocxudv+yD09/v/gTCQxJll6IPG98t/8um3pYbHidOsUDvGOX47pwHNjtsaHXxYl7VZYhWXaWhhsA6Ph/H7fvW/XQUEy3b1HGRoVu3dunWrW15e3tt5Ed644TZixMASf9beSNV5aWmpqEKXAdoEDq1R0siwGs4ljaSVqri1R3Ie51j13OIIe8OBGPFyPgthmrPOFNpTicPaVf04YmFp8PbDQitfQ+JDD+JiIa0A23+ohDpYWrVuXwHBsn1NBxkiN7dZR2adse23u4XbCIFlF1pjnIPf0GFZcfNzjHV4nu+fY4DPwMHaqtp2fll1lvP8OIjTd4TDPsJgMcvU/BCmnc8xP//4IXzOCx1+y8KyoT8cI27CtjBZ23FLi2lP+PgHrj6sw3i13Z4CgmV7WiqkjhUoqxZ3nIS5RqcqeLfyC5bd6q3YWlQAKy+slrYYfNZBYWFiWZdZz1knvMeJEyx7XHhKuhSQAt0pIFh2p7VikgJSoMcKCJY9LjwlXQpIge4UECy701oxSQEp0GMFBMseF56SLgWkQHcKCJbdaa2YpIAU6LECgmWPC09JlwJSoDsFBMvutFZMUkAK9FgBwbLHhaekSwEp0J0C/weqT5/Ss2yKywAAAABJRU5ErkJggg==[/img][br]Select the best description of the range of this function.
To raise funds for a trip, members of a high school math club are holding a game night in the gym. They sell tickets at $5 per person. The gym holds a maximum of 250 people. The amount of money raised is a function of the number of tickets sold.
Which statement accurately describes the domain of the function?
C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n.
[size=150]The function is represented by the equation [math]C\left(n\right)=4+3n[/math]. [/size][br][br]Find a value of [math]n[/math] such that [math]C\left(n\right)=31[/math] is true. [br]
What does that value of [math]n[/math] tell you about the cafeteria meal plan?[br]
Lin completes a 5K using a combination of walking and running. Here are four graphs that represent four possible situations. Each graph shows the distance, in meters, as a function of time, in minutes.
Match each description with a graph that could represent it.
[size=150]The graph [math]H[/math] shows the height, in meters, of a rocket [math]t[/math] seconds after it was launched.[/size][br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcAAAAERCAYAAADsR3f5AAAgAElEQVR4Ae2dTYstRx2Hs3DhyrgNBnMTTaIbE8SFu2TtJvcb3PsNvN/A+QRmxOALBDISxIUkdxYGXAQScSG6UYJuJBJBxayiC2UQhSPPSf4zdWqqu/r0eeuufgqafqvurnqqun5V/6rqfmSlk4AEJCABCSyQwCMLjLNRloAEJCABCawUQDOBBCQgAQkskoACuMhkN9ISkIAEJKAAmgckIAEJSGCRBBTARSa7kZaABCQgAQXQPCABCUhAAoskMGsBfPnll1dnZ2fFhPvggw/W5zh/fn6++sc//lH050EJSEACElgmgdkK4MOHD1ePPPLIesmT7rXXXlsff/TRR1cvvPDCivVnP/vZ1W9/+9vcq/sSkIAEJLBQArMUQFpzCBrihgimLs699NJL14c5ht87d+5cH3NDAhKQgASWTWBTPWbCAjFj+da3vnVLAKP1hwk0de+8887aL2udBCQgAQlIYHYCSL8fJk1adSUBvHfv3uq5554rpiytRa7RSUACEpCABGYlgPThYfqk/w9XEsBoHZaSFmFMTaO5nzfffHPVtbz++uud566urvJbuS8BCUhAAhMnMCsBRMC++c1vXiPdVgD7xJGbfvTRR8Xld7/73eqVV14pnuMaBfA6SdyQgAQkMBsCsxFAxO6JJ57YmM6wbwHsSjXMrn0tx67rPC4BCUhAAtMlMAsBjAEs+TSGYwkgLU/6D+l31ElAAhKQQBsEZiGAmC7p+3vxxRc3FqY1IEwcD9MoLbXnn3++mDpjBsEwmpTrWBhhqpOABCQggTYIzEIAER5ae/mCMIaohThhruRY3lqj9ThGxBBWrmPRDNpGpjcWEpCABCAwCwHsSqqSCRThY5oE51KHeMX0ifR4bZt+xxBA1rmw1q73vAQkIAEJTJNAcwII5pgMf/fu3fX3QDGRIl7RShyaFNFqTAVw23sMfZb+JCABCUjguARmLYAMjslbeoGPc7T6MJMyOX7MF2BS82eIYFf/YjzXtQQkIAEJzIPArAXw0Ihz82eIYP6ZtUOHw/tLQAISkMD+CSiAHUxL5s8QQAba6CQgAQlIYN4EFMCO9CuZP0MANYN2QPOwBCQggRkRUAA7Eis1fz722GPrQTSf+cxnrkeEagbtAOdhCUhAAjMhoAAWEio1fzLq80tf+tJa+N5+++31VApagppBC+A8JAEJSGBGBBTAQmKF+TOmPIQAfvjhh+u/yjOfUDNoAZyHJCABCcyIgAJYSCzMnyF+nE4FkH1aiIigZtACPA9JQAISmAkBBTBLKMQtFT9O5wLIsZK/7FbuSkACEpDAhAkogFnilD51VhJALiv5zW7nrgQkIAEJTJSAAjggYboEcMClepGABCQggYkS2EoA+ZzYu+++u7FgCmzdKYCtp7Dxk4AElkigVwAx8Z2fn6//txeTwEtr/tXHh6cvLi6aZKgANpmsRkoCElg4gaIAInz3799f/4Q2BI+RkXxYmikC8V8+PjLNMUZEhj9+UototuQUwJZS07hIQAIS+JjALQHEzBl/Wn/uuefWIyKHDPfHFIo4hhjyC6JWBokogL4uEpCABNojcEsAadEhfGN+HxR4+EoKQrjLPeJeU1grgFNIhXmEgcpi3k/O/tnZ2cZCd0HJ3zxiaSgl0AaBWwL48OHDvcSM1t+QluNeHranm7zxxhur119//dYS3wJ95ZVXbp3D/9XV1Z5C4G2mTAArRypmWDlYwmIS3QD7Wsf96Y5AQEM0W7GsTDmtDdsyCNwSwGVEuxzL//znP6vS8uyzz677OP/yl78Uz3ONrh0C0YpDdBjcxWfvhoha9JNjRWHhh8zRX961ptsg/Md6yLMYeIZAPnjw4FoY20kBYyKB4xCoCiCFQVdLji+mxEvY8nQITaDHyYynegqtOgZuIXZ9rblU1Mj7mPgPme9p6fEMFgQ0xDL9U0kulvE+Xl5edr63p+LscyUwNQJVAeSl4yXLRTCOxwtIjfSQhcEpwSmAp6S//2eTT/um9yAw0XpDfPK8v/8QjbsjYUOIQxjjXUzXCDomVARR0+k4zl7VLoGqAFLrZVBM6igQeMk4Hn19UWik/lrZVgDnnZLkUfrP8qk9IRTkcVpY9H/PXSQQdwahMUWp1FLEnItpt9XK6rxzqqE/NoGqAFJIUMNMHS8Xx9OacbQIU3+tbCuA80vJED3MmiF0sabihuDRgmrd8Y7SSuSdjSlKwYHWIX2IimHrucD4dREYJIAUFuEoWDB3YiJKHS8ZL1aLTgGcR6p2iR4FP/mVPDr3Ft6uKYHYUVmlEhBCyFox3JWs18+RQFWxeFGoPYbDvMILk0+XiOPhr6W1Ajjt1KR/C/NmWqAjeuTbPJ9OOybHDR2tQ97bkhjSR5paeI4bMp8mgeMQqAogtUVafBQyLGzTt5A7TaA5EfcPSYDCmb6sfNSmojeOeohh3m+ICZn3XieBFglUBZAXI38pSn0n1CIZTNCiswU4nVQl7+X9euQ9zZv7SyPMpHmfIRUNKhxLNyHvj7J3mgKBqgASSDI9phL6AktmEc63PKhAATxtViV/MYozbe1h4sTqUMqPpw1tW0+nYkHFNjUvY2524Exb6bzU2AwSwKXCiXgrgEHiuGuEj1YHZvcogLFG2No7bjrwtFKrkEn3JWvQ8UPnEyUwjkBVACl4qGkv2SmAx019WnX5nD1GcVrYHjcdSk8La0/aLcLcQlroOgnMjcAgAcynPMwtkruGVwHcleCw60P4orXHmr4ozZzD+B3bFy3xVAgxUSuEx04Fn7cLgaoAMsCAGt6SnQJ42NRX+A7L99B3RwjTqRQK4aGJe/99EagKIPOoqImTyZfqFMDDpHzex8fAFgZTcVw3PwKYqNMBM1ScNVvPLx2XFOKqAAIDEaRwol+GL+cvzSmA+0/xfHCLps79Mz7VHSkvUtOog2VOlRI+t0agKoAMgKEml/bL9G3XHjjH8wrg/lItn86g8O2P7dTulPcRUoG2P3dqqbTs8AwSQMwaQ5cWcSqAu6cqpjBaAlF5Ij85l2x3rnO4A2ZtLEikPVNanFA/h1RbRhirAjglDNQo+QoIBSkL3yvs6i/CDBN+qXnu0hehAI7PBaQP/EP4MI3tkhbjQ+KVpyRAPojPJZIXGCjDO6qTwCkJzEIAeXkoOKlFYjKjRsnLxD41ylwEOc9LFn6jY37sC6cAjsuiVFBiEjtpxdeEdMsmgAk03kfeUSqymkWXnSdOGfutBZDaOwNhjp1pEa9c6AgDL1E6UT+OIYKpYy5jSSxTP13bCmAXmfJxTJupuZOKSJ525Ss9uhQCvM/pQBnMojoJHJvAIAGk8ErNWIhOKjCcp1Z3iqkSPJclXPyWKS9wQxjHtAIVwKDbv4Y5BRn5g0VzZz+vpZ8lv4S1hvzitIml54jjx78qgGTSGAVKgRbmi1QACfYpJswTNl6ctAVISy8VxBQpfvNwp+f/+9//rkrLs88+u37OX//61+J5rlm6wzIQH6vG3NnHeemsjP8mASwGUa7wjvKXet5tnQQOTaAqgJivyJRp/01JSKKD+9ABjvtT4CLMiHL6svAidQlg3znu+8Ybb6x+9KMf3Voee+yxNYPvfve7t87h/+rqKoK1uDXsKbDIEywwPrZ5fHHQG40wZQyVJ/IRlSkHSzWa0BOKVlUAEZj8W6AlAQxTxiHjFs+IwhazbCp+PLtP5PrO9YVbE2iZTt7qSytJ5Ss8KoF+AlSeeE/jHbc12M/Ls7sRqApgSexKx0KcdgtO/9W8HBS69DXyPMSZgS1pTbFP5PrO9T1ZAbxNx1bfbSYe2R8BW4P7Y+mduglUBRCTxJAWIH7we2yHqGEuCdcncvRT5nGJ6/rWCuANHfprok+Y9LbVd8PGrf0SyFuDjhTdL1/vtlpVBTD6ANOvduQtQFpkHMPvsV20PKPfiTBQQJdcHu6Sn9IxBfBjKszrgyELlYlgXmLmMQnsiwCVrMh3vNvmu32R9T5VASSzRcc0Zq/Ly8t1ZqT/je2YHoGfU2TMfPBNiHEeFsykvEROg9g+09PPyld1ohCi0qGTwDEJUAGPXy7R7XGKKVfHjK/POg6BqgASjDTzRSGYrumLS1uI+w46Yla6P6LGy4DZMxyFNWJMgR2OYzFiNI5ts15yCzAYk96kc9rfug1D/UpgVwK8x1HhJT+WBsHt+gyvXxaBQQIYSBAhav+YGelLY3tMiyruN3QdrTfELr4DGv1QiB8vRuoIJyJI3yD+uY79koim13VtL1UA00ntpHfOuYuXxyVwSAKUObzPiCDlwNj3+pBh9N7zILCVAJ4ySmRy+gIQXRa2+zI+rcbwz3qXwntpAgir9FNm8NNJYEoEeL81iU4pReYZlqoAYmsfYvbCT6ujtJYkgFQq4osuhzZtz/OVMdRTIpCbRKcUNsMyfQJVAcTESIur5mLwSc3fHM8vRQAjDTEtafKcY05dZphzk+gu1p5lElxurPcmgJjJKDhbdEsQwBjNSxoOqfC0mM7Gab4EcpNoX/fIfGNpyPdNoKhYZCZ+ecRCJzOFY+yX1hcXF9cDTfYdwCncr2UBpLYcA4oYWDDE3D2FNDEMEsgJkJdj3jIVOadK5ITczwkUBZAWABlo26XVDNeqAFJLZoQs6ezE9vzVcH+uBMIaRb6m8q6TQBeBogDimcIxMlL0AyKMXUvLJocWBZDKSogftWb7TbpeEY/PkQCWjHSqhPl7jql4+DB3CmA8msJx6X1CrQlgOr9v6Wkb+dx1ewSolMdUCUY2t1xJby/1jhOjqgBSc6JPcMmuFQEkLWOwC7XjVk3WS86rxn2TAHkeCxbmUCwe9nFv8ln6XlUAc0DUohgIsyRRbEEAKQjSwS7WhvOc7X7LBBwc03Lqjo/bIAFMWw4xMCY1nUUtq9UWxdwFELEL8XOwy/iXxSvnTYDyKcovPuyvk0BVANOWA18GCXNCKoBgpGClkG3RzVkAEb8Y7ELakZ46CSyVQDpp3hGiS80FN/GuCmCYDtLvQVKLygUwPkl0c+t2tuYqgPlIz3ZSxJhIYDwBKoUxQpRv3lopHM9y7ldWBZBWX/4X9ZIAIogcb9HNUQBTc09eWWkxjYyTBLYhgAjGCFEsV4rgNvTa8VtVrJLYlY4pgNPJFOmf21vtl50ObUMyVwKIXiqCiKJuWQSqAoipYEgLED/4nbP75z//uSotzzzzzLp1+8c//rF4/urqajLRjmkOVFIUv8kkiwGZKAFEMMY10FeuCE40oQ4UrKoARh9gmjHyFiBzaziG3zm7N954Y/XTn/701vK5z31uHb9XX3311jn8T0UAQ/yoiKTpNec0MewSOAaBKOcUwWPQns4zqgLIfL/oMGbo8OXl5VoMKGzZTgvdVucGzqEPME0HxW86L5ghmQ+BVASdMD+fdNslpFUB5OYUqGErp6WXL63/OHXKAogJJ/7ebstvl1fBayWwWsVodso4uxDazxGDBDAwUCtisAs1Jfr82GZeTetuqgKI+KUT3NnXSUACuxFIR1ArgruxnPrVWwng1CNzqPBNUQAVv0OltveVwGrd+gtLlyLYbo5QAAek7dQEUPEbkGh6kcCOBGwJ7ghwBpcPFkAK3dLf4PNjM4jz1kGckgAqflsnnxdIYDQBRXA0ullcOEgA047hMAt0rWcR6y0DORUBVPy2TDi9S2APBBTBPUCc6C2qAhhfeGGEIULIft8y0XjuFKwpCKDit1MSerEEdiKgCO6Eb7IXVwWQ6Q9Mc6AAXqo7tQAqfkvNecZ7SgQUwSmlxn7CUhVATJ20/JbsTimAit+Sc55xnxoBRXBqKbJbeKoCGKbP3R4z76tPJYCK37zzjaFvk4Ai2E66VgWQSe937txpJ8YjYnIKAVT8RiSUl0jgSAQUwSOBPvBjqgIY3wK9e/fuqtVvfdYYn0IA/cJLLVU8L4HTElAET8t/H0+vCiAP4XNn6bQHvj3ZtewjUFO7x7EFMD5szQAkWoI6CUhgmgRCBP2LxDTTpxaqqgDyIexU/GrbtQfO8fwxBTDEj75XxW+OucUwL43Ayy+/vC4jFcH5pXxVAONnkSTyUt2xBDAVP39ptNTcZrznSCD9lZLv7nxSsCqAtPjyP8LPJ3r7CekxBDD94IAv0H7SzbtI4JgEUhFc6niJY/Lex7MGCSCF85LdoQUw+hH8n9+Sc5lxb4FAiCCD2OzCmH6KVgWQgRiYQafgEGIG32BrZ2pG18hUMh5/r8cfLVj8np+fj47CIQUwxI9wLuHfiqMTwQslMBMC0W2kCE4/waoCyE9wKZxZn9LFJ9noiyQsCAefaEPkcnMDtTBaUwhm/MSXOIxtyR5KAIMtYSM+OglIYP4EqIBTXvFeU2HXTZdAVQARlxicQWKenZ31LoeKKmKRmxQIWy5sMWo1FxTED7HM7zEkvIcQQMIZLdQ8rEPCpB8JSGC6BFIRpPzUTZNAVQCjOY/QDFmOHU1qWukgHYSOcOYuxHKM2OxbAAlLiB+tVZ0EJNAeAd5zLFGUR4rgNNP3tlJk4UQwEJWhS3b5wXfJXIQtHILd1WdJZuz7sPff//73VWn54he/uM7E7733XvH81dVVPL66pmYYX3lR/Kq49CCBWRPA0hMiOKbyPevIzyDwVQGcchzIUAggNa1wfQLYd47r33rrreLy+OOPr5/z4x//uHh+qACm4kfLVScBCbRPwL7+6abxbAUw+tDyFl2fyPWd60uifZlAoy8V8RvTF9kXRs9JQALTJRCVdbo+KLt00yBwSwDpT9t1OD6FO4NlqPkcwkVLqtSK6hO5vnN94dyHACLUtFYxhyh+fbQ9J4E2CcT4BEVwOul7SwBjIicjPi8uLrYKKQU78+2Yd0dhf4iaTip+JSHpEzmmTYzpd9tVAKP2h/gdgslWiaRnCUjgZASifHWO4MmSYOPBtwSQs8y1i45bxAzTHWL47rvvbvS3UZhzjNYek9IRPRaE5hCtv5r4EXZaWoS55AhbOmCm5Kd0bBcBTO3/u7asS2HzmAQkMC8CVNIpixBB3WkJFAWQIDGwBLEIIQxx61sjfLR2Si2zXaM5RPx4Rvy6KW9pRSssPz4kXGMFkGfFdAeer5OABCRAWUb3DWWp0yNOmx86BTANFq0YWoX0D4aJMdYc49wYYUmf0bcd4oeYXF5erludtDzTJRVdMhe1qxgdSthoFRLmMW6MABKeMAWPMbuOCafXSEAC8yCQzhGk/NSdhsAgATxN0G6empoRu1qgqcmVzBU1rPDPfiqSN3evb40RwJjrl07Srz9JHxKQwFIIUDGP8kkL0WlSfRYCiHAhcH1LSdzIYFyza+t0WwF0usNpMrNPlcDcCETXjCNDT5NysxDA06C5eeo2Aog5g1odfadhgr25k1sSkIAENgnEFClEsFSR3/Tt3j4JKIADaA4VwBiAgwDu2uocECy9SEACjRCgq4Ryw5Ghx01QBXAA7yECiOA54nMATL1IQAK3CNDyi3ELjgy9hedgBxTAAWhrAkjmjUEv+afZBtxeLxKQgATWXSYx7cyRocfJEHsTQPq7WjX71QSQr+Zgvhg7zeI4Se1TJCCBqRNg0B5lCQvbusMSqAoghfqQr6fEd+4OG9zT3L1PAKMDm48A2IF9mvTxqRJoiUA6MtSBdIdN2b0JYAwAOWxwT3P3LgGMjIrZotXW72mI+1QJLJuA3ww9TvrvTQBjFNNxgn3cp5QE0EEvx00DnyaBpRFwUMzhU7wogLRs6NdiYWQjn/SK/dI6PvnVah9YLoCYOiPODno5fCb1CRJYIgHKGQfFHDbliwJI5ystuoAfnbJ9a/y32geWCyCVAFi0KviHzXLeXQISGEoAS1OUuw6KGUptuL+iAKaXM7hjyCCY9JrWtlMBjME+DnppLZWNjwSmSSC+LuWXYvafPlUBZHALJtEluxBAB70sORcYdwmcjkA6KOZ0oWjvyVUBbC/K28coBDBMwkuvEGxP0CskIIFdCNC9FINiHHewC8nNaxXATR7FvRBAbPH+26+IyIMSkMCBCdAfaCV8v5AHCSBm0Bj1GB2yXev9Bu+4d3v//fdXpeWpp55ad0Q//fTTxfNXV1fHDahPk4AEFkkg5lvTH+jc492zQFUA00/zMOqxtuwepNPdIf3DfLr9+c9/fi2AP/zhDzf+Qh9+FMDTpZlPlsDSCMTXp/j+cKsj74+VplUBjOkQS65thAn0ww8/PFa6+BwJSEACnQSiP9A/R3QiGnSiKoAM9196v5cCOCgv6UkCEjgSgXSSvIPyxkOvCiB9fc4D/NLaBGoLcHxG80oJSGC/BKJ7yv7A8VyrAkhTe+lfPLEFOD6DeaUEJHA4AvFhDvsDxzGuCmBM/rYP8JGVLcBxmcyrJCCBwxGggYKlzv7A7RlXBZBb0gdIM/v8/Hw9CnJp/6iyBbh9xvIKCUjgOATsDxzPeUMAoybRNcdvyPHxQZnulQrgdNPGkElAAquV8wPH5YINAWR+SW2eX+38uGBM+yoFcNrpY+gkIIHVKp0fKI9hBDYEcNgly/OlAC4vzY2xBOZIIOYH+r3QYamnAA7gpAAOgKQXCUjg5AQYnxHfC8UsqusnUBVATJ5DJ1oyL4WRSPww9sGDB818pkcB7M9EnpWABKZDIEbu+//AepoMEkDmmiBuZ2dn65GgpVGgMSkzHSjTytwUBbCekfQhAQlMh0D8P5DGiK6bwCABpCaRChvb/KU4dXwzlOMxXzD+YtzCV2QUwDSl3ZaABKZOgKkRfMayVFZPPezHDN8gAQRitAJp6YXYpS1BYGMuTR3++I3S3J0COPcUNPwSWB4BGiOU3WnDZHkU+mNcFcCuj2FzPG3dATkXwJib0h+E6Z9VAKefRoZQAhK4TYAymrK5le6o2zHc7UhVAIFXGk3EMFtaeOFKAhj9gmlLMfzPaa0Azim1DKsEJJASoGFC+ezUiJTKx9tVAWRIbd7fx6WIX9ri6xPA6Be8/fh5HFEA55FOhlICErhNIJ0aQaNEd0OgKoAIXd58BigDY1gAGrbmVBB5xKlNoISTv7bv+tdkBfAmw7glAQnMj4BTI8ppVhXAMGMymIU5fnfv3l0LHy3DsC/T+mOfJW3tIZ70Fe7TIWaEgWd21Wbww/Bf/MSyy7xEBXCfKei9JCCBUxCgPKY8pPzUfUygKoB4oyWHuIWYIGohdJxDCGltxV8jAEyrEf8l8+lY+DwTIY6wdAkgnwPCD2FDDCP8Y23gCuDYFPM6CUhgKgQoC6PsHPpxk6mE/VDhGCSA8XAAInRdjvNRywD0WMEp3R+xw+SKyCJoiGtJALvOhQmgL/yl53JMAewi43EJSGBOBCgzKTspS8eUhXOK65CwbiWAQ254KD+Ia9RaIhFLAojoIr654/qxLVIFMKfpvgQkMFcClJGUhX4lZrWajQCmma1PABmIkw/GiWu75jTG+ffee29VWp588snrFmfp/NXVVdzCtQQkIIFJE6AxQFk4tkEw6chtGbhbAoiJkT48IOFodfEN0KHLls8f5X2sAPaJIwH5zW9+U1zodySz/PznPy+eVwBHJaMXSUACJyIQZSim0BjPcaKgnPSxtwSQgp4loCAacWzI+hixicRjnbs+kes7l98n3dcEmtJwWwISaIFAjOJnwOJS3S0BRPhC/IDCNkIzdDkGSAXwGJR9hgQk0DqB+IEuYrhEd0sA5wBhrACOHZlqC3AOucIwSkAC2xKggROWvbThs+195uq/OQGkJoNdO3eOAs2JuC8BCUhgdf1BkyWaQgcLILUDvqbC0FmWmJJABkJc+OTYseaV9LUAo0bDfMDUxf8Jx4TRFmBK0m0JSKA1Aks1hQ4SwJg3Ek1l1rnNGPMiI0iP4foEkOczGZ9W4OXl5VqYLy4u1vtjJ+YrgMdIVZ8hAQmcikA0HCjbl2QKrQpgfEGFEZS0qgJULoDxGbRjJGBNAGmREp5UsBG/mNqxbRgVwG2J6V8CEpgbAcp0yswlmUKrAkjTmEmTqXiUWoABb2qJnoZ7bNgUwLHkvE4CEpgTgaWZQqsCiNjlpsM5CeA+Mp8CuA+K3kMCEpg6gbDwUcYvwRS6NwGMfsKpJ/CY8CmAY6h5jQQkMEcCYc1bwrdCqwJIk5hPgaWmxLwFyDkGneC3RacAtpiqxkkCEugiEKbQff7OrutZpzxeFcD4vRC1gZhCkAogA1Li33/p1IhTRmrfz1YA903U+0lAAlMmEKZQGjZR7k85vGPDVhVAbhxNYoQvPgzNGjgcYznWFIixEd3lOgVwF3peKwEJzJFAdGu1bAodJIAkHi095tcx3y9EjzXHONeyUwBbTl3jJgEJlAjQtdX6b5MGC2AJ0FKOKYBLSWnjKQEJpARizjXWvnQcSOpnztsK4IDUUwAHQNKLBCTQJIEwhfKf2NacAjggRRXAAZD0IgEJNEmAll90feXfWJ57hAcJICOCUP8Y7Zn2AebbcwdSCr8CWKLiMQlIYCkEYjZAPiVu7vGvCiBDYFORY35I/Fm9tJ47kFL4FcASFY9JQAJLIsCAR7Qg/zLYnBlUBTAi3fqEyL5EVAD76HhOAhJYAgEaQ2EKbWXkf1UAGQaLCC7ZKYBLTn3jLgEJBIH4r2orf4yoCiBNXibCL9kpgEtOfeMuAQmkBOIzaS3oQlUAl9QC/NWvfrUqLTEZ9K233iqev7q6SvOH2xKQgASaJdDSZ9KqAojKtzoJMs+hv//971el5cknn1x3/v7iF78onlcAc5LuS0ACLROIz2PO/TNpVQEkEWnyYvNtpeNz24ypCXRbYvqXgARaJpB+Jm3OcwM3BJBpDemUh9hOP3odx7rWLSa6AthiqhonCUhgFwIxN3DOFsINAWR+R2lu3zbHdgE61WsVwKmmjOGSgAROSSCmyc11buCGAJ4S5JSfrQBOOXUMmwQkcCoC6dxABsfMzSmAA1JMARwASS8SkMAiCcSAmDnODVQAB2RZBXAAJL1IQAKLJRBzA+f2xXlzQD4AABAMSURBVDAFcECWVQAHQNKLBCSwWAJz/W+gAjggyyqAAyDpRQISWDSBe/furWcRsJ6LUwAHpJQCOACSXiQggUUTSP8bOJc54wrggCyrAA6ApBcJSGDxBOb2sWwFcECWVQAHQNKLBCQggU++HMaHUuYwIEYBHJBlFcABkPQiAQlIYLVafzITAZzDF2IUwAFZVgEcAEkvEpCABD4hMJcBMQrggCyrAA6ApBcJSEACnxCYy4AYBXBAllUAB0DSiwQkIIGEwBwGxCiASYJ1bSqAXWRujv/rX/9asei6Cciom02ckVGQ6F7/+9//ns27dqovxPzvf/8bxEgB7M5n12cUwGsUnRt//vOfV2+//XbneU+sVh9++OHqZz/7mSh6CHz00UerN998s8eHpxDAn/zkJ7MAcaovxCCAFxcXVUYKYBXRaqUA1iEpgHVGCmCdkQJYZzQnASQ2MSBm218mvfbaa6uxf5hQAOv5aLAPBbCOSgGsM1IA64wUwDqjuQng2F8mMZAGE+qdO3dWDx482EoMFcB6PhrsQwGso1IA64wUwDojBbDOaG4CSIzil0kvvvhiPYKJjxBB5hWyDBVDBTCBuOumAlgnqADWGSmAdUYKYJ3RHAWQWD3xxBNrEXv48GE9komPXARzMaSFmTsFMCfyyf7f/va31Z/+9Ketli984QvrhPv1r3+91XXbPmfO/n/5y1+uXn/9dfn05C3yz6uvviqjHkb0+Xz/+9+XUQ+jP/zhD6vvfOc7s2P0gx/8YF2OPv7442tz5jblHfniy1/+8vr6EMB0zc94z8/PVyGGCmCHAH7961/vhJgCzbc/9alPjbouv4/7H5sy5CAH84B54BB5ADH89re/vfre977XoQI3hxc3ChQB/NrXvrbV8ulPf3otfnTIbnvtUvx/5StfWT3zzDPy6clb5J+nn35aRj2MKLywuCzlvRkTz69+9aurp556anGM6P+rCSbvGBPw33//fadB3Oj8blv2Adb52QdYZ2QfYJ2RfYB1RnPtA6zHrNsHUyK6xC9EL8yf3EUTaDfLrc8ogHVkCmCdkQJYZ6QA1hktTQBL4lcSvZScApjS2HFbAawDVADrjBTAOiMFsM5oSQKYih+jSJlMn7b0umgpgAUyDL996aWXrgECl3kpNK35d9Xdu3evz6WXK4ApjfK2Aljmkh5VAFMa5W0FsMwlPboUAaR8DtHb9oswCmCSY5hHgrjxSR62gfnCCy+sAMy36ug0ffTRR6+FMK9hKIAJzI5NBbADTHJYAUxgdGwqgB1gksNLEcC8HE4QVDcVwE8QIXiMLEPkcIgfrb28RgHsmKjJVwtSpwCmNMrbCmCZS3pUAUxplLcRQD8YXmYTRxFAGQWN8hoBHMKo6WkQIX7xEdbYzwUuEMbnehDM1CmAKQ23JSABCbRBoGkBRPgYLRQOgcPUiRCWHK3AGGqbnlcAUxpuS0ACEmiDQLMCGP+hop8Ph+hh4oz9ruRTALvIeFwCEpBAWwSaFUBGe9La29YhgAhl6mwBpjTcloAEJNAGgSYFMEyZjPrc1iGAjBBNnQKY0nBbAhKQQBsEmhRA5vshZF2DXbqSLsymMWI0/CmAQaJ7DTvmVOaja7uvWM4ZzO+Xl5ers7Oz9cJX63WbBKi0wiVl1NVXv3nlcvfozvGd20x/xn3AJF9iIOSm79WqSQGM0ZzbCiCQEM78xfvGN76xYsmP5zCXuk+FAW4sCKHuhgCFFNNuMMdjWWBhmw/7mp8+5hTvHV0PKaPSdKUbssveoqJJPvKd28wH5KE0H0V+UgA3ORX3yFBdoIoXLPwgBTgfGIBbtLoVwM1MQeUgtyhE4UU/tW61HpiW/ySVvEVBlk9JktfHBBjdHhV937mbXEGFYJuGT9MtwG36AIHGC2et/CYz1bZgRSEeZk9rozViN+fhRitQ100gCvhuH8s8QyU9yirfuc08sC2PJgUwWiOYUIYIWtTIoyDfROreUALbZr6h923RHwKYzlFtMY67xglGWBd0NwRo7fGeRVnlO3fDhrJ+Wx5NCiAgwj5eaw6TkahNRYa6wenWtgS2zXzb3r8V/+RPKmea27tTNPqVc/Nx9xXtn4l8k5ZpvnM36R6Vg/v3718PpmJQFQOsulyTAkhkw3xCBgFC7shMjDqjk7QPUH6d+90EfBm72aRnyJtU0Mx3KZXV+l1k9B75iEqpfVubfGgRU16lznfuhgbvUwx6iTX5CEZdFalmBRAs1LCJPAs1bl4uxJA15qfaV2Fu0Lo1hIAvY50SeQ5O+aCP+pXt+6BiwBJ9XLyzcvo43ck3pUqT71z9vWAsCJxKVr6mBRA0RJqXitoTINgugahj1EeNgC9jP6EQPyte/ZzibBRcS28pE38qA6V84zsXuaV7jbUPTpT9uWteAPMIu384Ar6M3WwVv242XWeoqJKnSgV/1zUtHqfghkNt0WTcnfqwUwC7+XhmDwTIZL6Et0EqfreZDDkSgxq6+m+G3KMFP7QAYVFaeOfgwzlaOrrbBOAXnPKztgBzIu6PJqAA3kan+N1mkh/pMnHSbUGe6jqf32eJ+75zN6lOJSDv3iLv8DEF+k9LFQQF8IafWzsS8GW8DRAmMQAr/z4h+0s370EMRhRSMXydNR8JoNCSz+08lR7xnbuhQUs4fd/IQ+wzIjQXxrhKAQwSrncmoBnmNkL6HfoWmC3dwQBGMXSdUaAUZqUa+9JZ5fH3ndskgtBRaSI/sa69XwrgJj/3JCABCUhgIQQUwIUktNGUgAQkIIFNAgrgJg/3JCABCUhgIQQUwIUktNGUgAQkIIFNAgrgJg/3JCABCUhgIQQUwIUktNGUgAQkIIFNAgrgJg/3JCABCUhgIQQUwIUktNGUgAQkIIFNAgrgJg/3JCABCUhgIQQUwIUktNGUgAQkIIFNAgrgJg/3JCABCUhgIQQUwIUktNGUgAQkIIFNAgrgJg/3JCABCUhgIQQUwIUktNGUgAQkIIFNAgrgJg/3JCABCUhgIQQUwIUktNGUwJII8E9Bfjjc9SPUJbEwrt0EFMBuNp5ZAAF+wsof2+f289V79+6tXnrppQWk0Lgokq5j/5bOz1QRz7nliXGkln2VArjs9F9E7Pv+DP3EE0+sC8o5FXYU0BTuDx8+XET6jYnkLgL4wQcfrB599NHV3bt3xzzaa2ZEQAGcUWIZ1HEEKMwQjZJD+Cjw5uIIK+JHAa/rJrCLAHLXqGRQedK1S0ABbDdtjdlqtXrnnXfWgtElgHODRN+Wrb96qu0qgFSM4IwpVNcuAQWw3bRdfMwQPfr3KMju3LmzLswo0BCRcDFYIvZZM3AiBlCwjSmMe7A8//zz16ZHCskHDx6s7x3n2O8yp3L87Ozs2j9hu3///lYtUFqzmG1LjtYK4Y44E1bCXjKVEhaeDRfCPiQs3J97Bguu5R55fGmlcjzCEffuGpCCWHHvnA/3J/x9LXTSuBSHqChQAUod+9wzvQZm5+fnt+JBPytx7Qp3el+350lAAZxnuhnqAQQoHKMlwJp9ltSsFefT20WrkUKcAjCujQKRY4gKYoAYcZz7Rn8iBWruKNxDPBi8gn/W3AuBGFLIRrh4Xu6iwI+wxv0RzNw/ghLiVApLSXAirMSRbZ7Hs3Ixhgtx4rkRFvyzH9zysHMcNjnPeCZhLYXpueeeW9+TMBAeFo7hPyotqQAGv/API9iwn8eDMJJPCBv+dG0SUADbTFdj9QkBCq++QoxCmvOpi4KS46lY4ic9x7V56yfulwsaBW3f/UqimYaJ7YhLHibOcW+eXXJdYcxbhiFeCE/q4rnEIb9X6o9ziA9il8effY6XxIyws/Dc/P4vv/zy+lwu4iFOpWuCNfdMBTAENX8GcSgJLMf6uKZxd3ueBDbf/HnGwVBLoJNAFN6sSy4EKz0XIldqFeCvrzUTz0tFqlaQRkumVAin4YqwpoU65ynQKahp9dQcQoTfXFDiughLKhJw4Jr0WPhP1yFWXazjPOvUcW+WrvhzLhf3CGfXNZFGKavgV4tHKWzpMbfbIaAAtpOWxqRAIASpq1COQjG9NAQwbwmFn9I1cS6uTZ8XrZX0WPhnHWFMC+v0fGz3PTfO1frMQoRSgY77s45WUoSlJt6la/PWX/gJoSasqUPgEKwuVxJAjiGCXS54RDzwF+mAqfXy8rLr0o3jIbQbB91phoAC2ExSGpESgRCXLvGJgjK9tiRi6fnSNXG+dG2EgUK7b8lbRnHPWPc9F3FJTX+YVC8uLuLS6/XQsIRwRHy6WozXN16t1q004tfnOI8ApY5jxK3L5ee7hDS9PlhFPOIcjKN1yEAYBiX1tQjjPnG967YI9OfWtuJqbBZIIAr8KQggrSvC0bXkhXWeXEMKY1psDAaJQh6xSVtkwQNB6woHx8O0GALIPWtuSPgQs9y0nAtc/pz8/JBWaYSlxBTBozUYrTv6JbtaxHGfPEzut0FAAWwjHY1FB4Eo8FmXXKmAi0J/m2vi3qVrw+zYdb+4traOsPa1WNJ7RNxp6YSLY7XWZviPPkOeXXMRvlRw02u6Wm65wKXXsF06XzqWXhdhKQlg6o/zUVkI0U/PR/9nesztdggogO2kpTEpEKiJTxSU6aUlEUvPl66J86VrQ0SGjPSM+5TWef9cyU9+LMyiIZpjwoJA0EqKe+TPiP1g3SWu0QeXtyZrYlY6H8JUEi3CE+drAojfGP1aCjfPJv66NgkogG2mq7H6hEAIUlcfVknM4pquFlvpmgDedW1cQ59TyXUV5KnfPoHpEqcw86X3iWNdZr/8XggWQsC8yD7HdYgFLc48PpyLyef5uZLApc8pnY+WbClMwYnrUgHM4xXPCP/5tJCoLHQNhorrXc+XgAI437Qz5AMIRKFMYchXWhgYkhb8IUzprbpELPyUrolzXdcSjmiV0C+HEMbCPuGrub4CGeFBDLgncWRNi5P75i0u7oN/zqVhgQ/7xC91hD1EM/XP82gZpi5aUxznfoSDNfs8L2Uf13E8f2acY106n4aJeAbLmABfai3zjPAbjIgD9yd+3DN1IYysdW0SqL91bcbbWC2IAAV+iA+FXVqjL4lZl4gFstI1ca7vWgpYWqJpWKLw7Wptxn1jzbUlcyT3DVHjniz4LQkO96IVVroGIShdQ9gR0vwZKcsII7xDgCIs3Bc2JYefbQWQ+wTPNEzxHOLAfdNncozzESbWXEu8cvHj/uE3b7GW4uCxeRJQAOeZboZ6oQRslRwn4aO13WU6P04ofMqhCSiAhybs/SWwRwK0VGjZ0Z9WarXs8VGLvlW0YBFCXbsEFMB209aYNUqgz8zaaJSPGi35HhX3SR+mAJ4Uvw+XwDgCtEzS/q1xd/GqEgHZlqi0eUwBbDNdjZUEJCABCVQIKIAVQJ6WgAQkIIE2CSiAbaarsZKABCQggQoBBbACyNMSkIAEJNAmAQWwzXQ1VhKQgAQkUCGgAFYAeVoCEpCABNokoAC2ma7GSgISkIAEKgT+D9o6g8ixC73gAAAAAElFTkSuQmCC[/img][br][br][br]Find [math]H(0)[/math]. What does this value represent?
Describe the domain of this function.[br]
Describe the range of this function.[br]
Find [math]H(x)=0[/math]. What does this value represent?[br]
Mai has to decide between two cafeteria meal plans. Under plan A, each meal costs $2.50. Under plan B, one month of meals costs $30.
Write an equation for function [math]A[/math], which gives the cost, in dollars, of buying [math]n[/math] meals under plan A.[br]
Write an equation for function [math]B[/math], which gives the cost, in dollars, of buying [math][/math]n meals under plan B.[br]
Mai estimates that she’ll buy 15 meals per month. Which meal plan should she choose? Explain your reasoning.[br]
Kiran is playing a video game. He earns 3 stars for each easy level he completes and 5 stars for each difficult level he completes. He completes more than 20 levels total and earns 80 or more stars.
Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.[br]
Graph the inequalities and show the solution region.
Then, identify a point that represents a combination of stars and levels that is a solution to the system.[br]
Interpret the point [math](5,6)[/math] in the context of this situation and determine how many stars Kiran earns based on this point.[br]