There is a proportional relationship between the volume of a sample of helium in liters and the mass of that sample in grams. If the mass of a sample is 5 grams, its volume is 28 liters. (5, 28) is shown on the graph below.[br][img]data:image/png;base64,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[/img][br][br]What is the constant of proportionality in this relationship?
In this situation, what is the meaning of the constant of proportionality in this relationship?
Write an equation that shows the relationship between the mass of a sample of helium and its volume. Use [math]m[/math] for mass and [math]v[/math] for volume.
[math]7=2x+3[/math][br][img]data:image/png;base64,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[/img]
Write an equation to represent the hanger.[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALIAAAFcCAYAAABss+QuAAAgAElEQVR4Ae2dCdRV0xvG85ekUBkbCJUkRUUkikxhFUmWqVLLlMi8ZJ6SlLCSilDmIZGhkCGkMkQiRYgQSgiVCtn/9Wzfvu53v3vvd84ezrn7nOdd66773XvP3vuc5/zu/vbd+93vW0XQqEACFKiSgGvgJVABQZAJQSIUIMiJuI28CIJMBhKhAEFOxG3kRRBkxwx88sknokqVKvLRunVrx62lt3qC7PjeE2THApdVT5Ad60yQHQtMkKMRmCBHozN7ZMc6E2THApdVT5Ad60yQHQtMkKMRmCBHozN7ZMc6E2THApdVT5Ad60yQHQtMkKMRmCBHozN7ZMc6E2THApdVT5Ad60yQHQtMkKMRmCBHozN7ZMc6E2THApdVT5Ad60yQHQtMkKMRmCBHozN7ZMc6E2THApdVT5Ad60yQHQtMkKMRmCBHozN7ZMc6E2THApdVT5Ad60yQHQtMkKMRmCBHozN7ZMc6E2THApdVT5Ad60yQHQtMkKMRmCBHozN7ZMc6E2THApdVT5Ad60yQHQtMkKMRmCBHozN7ZMc6E2THApdVT5Ad60yQHQtMkKMRmCBHo7OzHvmnn34Se+65Z+ofu+22WyasbI0aNVKvB5i48MILrdPtDOSlS5dmbqCKD8znf+Mkp12Ho48+miCnHYIkXL+3INeqVUu89NJLfKRYgxEjRmT+Q3sL8lZbbWX9Xwkr9EuBWbNmEWS/bhnPNp8CBDmfKnzPOwUIsne3jCecTwGCnE8VvuedAgTZu1vGE86nAEHOpwrf804BguzdLeMJ51OAIOdThe95pwBB9u6W8YTzKUCQ86nC9yJX4L333hPbbLON9qNOnTqZlb2NN95Yux6cw6mnnlrh+iPxfuMSdQXdvXvjrbfeyoAYt+NSjx49KuhHkCtIwjfyKaBA7tSpU76PI3nvhRdekF+mSECeMWOGuP/++8X555+f+QZvsskmYsiQIWLy5Mli0aJFkVw0G7GrQCpAfu6558QBBxwg4K4Z5N9OgwYNxMknnyy+//57u2qzNmcKJBbk9evXyx42G9wNNthA1KxZU3Tr1k3cdttt4rXXXpOPV155RVx99dVin332EdWrVy8HO7b/LF682NkNYMV2FEgkyG+++aYAgAri1q1bizvvvFOsW7cukGpLliwRl19+uahbt26mjnbt2okff/wxUHkeFL0CiQP50ksvFeh5AXHjxo3F1KlTjVQdN26cqFatWgboadOmGdXHwm4USBTI6DVVL/zUU08JDC9s2Nq1a0X37t1l3f/73//EzTffbKNa1mFRgcSAvN1220nQMAPxxRdfWJTov6ows6G+KMOHD//vA/4VuwKJALlv374SMCxs/PDDD05FxQ9EBTOWNWmloYD3II8cOVKChXFxVLMLo0aNkm1imMEpOoKsFNBeEEG0INU7zp49W9UXybMaMzdt2jSS9thIcQW87pGxFAiQTzrppOJX6ejTqlWryvanTJniqAVWG1QBb0Fes2aNhAgwLV++POj1Wj0OQV3wRcIPzT///NNq3awsnALegoxgc4BowIAB4a7Y4tH//POP2H777eV5zJs3z2LNrCqsAt6CjJU7/MBbsWJF2Gu2evzzzz8vQT744IOt1svKwingJchz5syR8KA3DGu///67uOSSS8TLL79coejdd98tP/vss88qfFbojWXLlslzwX8HWnwKeAlynz59JDyXXXaZlnKADsvX2YaeFdNp+bz7s4/L93fbtm3l+cydOzffx3wvAgW8BLlly5YSnL/++ktLohdffFGWx8XD4Ay04YYbCtSrY3AwwpeDS9c66tkp4yXI2267rQRHVwJ8ATbaaCPRuXNn8ffff0vXTni6YSZExyZNmiTPZ//999cpzjIWFPASZPR+pmPSm266SdaB2Q/8cPz666+15fzoo49kXQ0bNtSugwXNFEgtyJjtQK+ML8T8+fONVFQJZbCzhBaPAqkF+Y477pAQA2RTd0+CHA+82a16CbJydM++kDB/wy8DAF9wwQXyR57pEjc2tKK+nXbaKcxp8FiLCngJcpMmTSQ4OjrAQw7QHXbYYbJ4hw4dBHyYg26DytfmXXfdJes88cQT833M9yJQwEuQDzzwQAkOesIwhp0eiCiDDabKN2LVqlWyrkGDBoWpqtyxvXv3lnVw+q2cLJG+8BLkW2+9VYKz3377BRYL02xIjohFj1yrX7++2GyzzeRUXO5nlb2Gv8UWW2whz6eyY/m5OwW8BBnLzACydu3agZXByl3//v0FLjjXMGuBz3Qc8xcsWCAhxridFp8CXoIMuVSwlXxgRinnFVdcIUEeOHBglM2yrRwFvAX52muvlQC1adMm55Kie4lxtgo9wJgX0emeryVvQcbFIPwnZiCmT5+e79qcv4ewWmifsxXOpa60Aa9BfvLJJyVI8JOI2hCNCBDD2chkeTvq805qe16DjJkItUMDcduiMkzjIaAzQD7jjDOiapbtFFHAa5BxXXBsV0MMjJtdG5azEUsOEGNOmlYaCngPMmScOXOmBAtw3X777QJzu64MmePRzuabb+6qCdaroUAiQMZ1P/zwwxmYEXPCtmFWYocddpBtwO3zq6++st0E6zNQIDEgQ4P3338/AzN+AIbZe1dMw2effTYzfNlyyy3F6tWrix3Oz2JQIFEgQz/Eftt6660zQO+7777iu+++Cy0tfkgiUxCWrjGUwKNVq1ah62GBaBRIHMhKNvhjwKtNQYjZjeuvv15gN0cxe+ONN+QG1GyAEYDlmWeeKVaMn8WsQGJBhq7wybj44oszq28KauwMAdh77LGHwMpgixYtBPYBYk5YHYNnjIXho4HemVbaCiQa5GzpsbH0zDPPlM5Galk5G1r8jffhjIT4FjS/FEgNyLm3ZenSpZnelwkjc9Xx7zVBrlJFEGT/wM09Y4JMkHOZ8PI1QSbIXoKbe9IEmSDnMuHla4JMkL0EN/ekCTJBzmXCy9epAxnL1dgwqgIPYv4YnmwI2vLll1+KX3/91csbmfaTTgXICAx+1VVXiUaNGmXmjnMXQ7JfI2gLQmrFHQ0/7XCGuf5EgwxvuB133LECvHvvvbc466yzxIgRI+QDfhk9e/bMC/pee+1FoMMQFdOxiQQZy9EYLqheFjtIzjnnnMDxjxcuXCg6depUzveiW7duQjeweEz3NlXNJg5kONjDXwIQw3fYNIwVUjFkOxO5ynOdKuocXGyiQMZwQfXCCJyiG4E+V2ek6W3Xrp2sGxGFsHubVloKJAZkjHsVxK+//rp1lbEPEL0z2oCX3IQJE6y3wQr1FUgEyFdffbUEDGNhW9ubCkn6yCOPZL4wcWVcLXRuaX7fe5Cxc0P1klFFHEKePrSJsTPnnUvj6+M1yL/99pvMyASo7rnnnkgV7dixo4Q5ysAwkV6gZ415DfL5558vYQJUURvGzPgC4fH2229H3Tzby1HAW5AxpwuIMNUWV+y1UaNGyXPAnj/ThDo594UvQyrgLchHHnmkhMg0kU1IvcodDngxV40vFBZRaPEp4C3INWvWlAB9++238aknhHjsscfkeRx33HGxnkfaG/cS5M8//1zCoxNOFiECMAe8aNGiCvceHnD4LMwUHoY1aqxcoUK+EZkCXoI8YMAACY9uSFeAl5tAHVGFMJ2GFbywppK8I2YyLR4FvAQZHmmAUXdB4t5775XlP/74Y6k65oIRIhaecjqGxJM4H1O/Dp22WeZfBbwEGenEAI6uITkkyquUCfXq1ZNBCjEvrWMTJ06U9R1yyCE6xVnGggJeggwITUCGbhdddJGs46ijjhJVq1YVH374obacH3zwgawLYWdp8SiQWpAxnlXumVOmTDFSn0nVjeSzUji1IMMVU/ktmypJkE0VNC+fSpAxFsbQpEuXLvIZS90mhhkP1Kf7Y9GkbZb9VwEvQW7YsKEER+cmYkMpoENIWVjz5s2181Cr9sePHy/r5KKIUiT6Zy9Bbt++vQQH/9LDGDKV4kuAXR5qhgK5QAD2yJEjw1RV7tjTTz9d1sHpt3KyRPrCS5Cvu+46Cc7hhx8eSqyDDjpIlvv555/Lldt0001loO9yb4Z4oaYDMa1Hi0cBL0H+6aef5HYj5AoJauhxEdci3347pFvAZzpTcNiMih4dPxxp8SngJciQS+X4CDu8sC01hhMAuX///rarZn0hFPAWZIADgDp37hzicu0eCp9olXX1m2++sVs5awulgLcgZ+/QmD9/fqiLtnXwwIED5Zfp4IMPtlUl69FUwFuQcb1I14teuWnTppqXr19s5cqVsm2EBpg3b55+RSxpRQGvQcYswRZbbCGBQsamqAxDiiZNmsh2jz322KiaZTtFFPAaZFwXXDGVz8S4ceOKXKq9jwAv/hNgPnrt2rX2KmZN2gp4DzKuHFNqAAuPl19+WVuMIAWV7zG+PLTSUSARIENOBRhgHjx4sHWFMSZu27ZtpieeO3eu9TZYob4CiQEZEjz00EOZnhlO7gg+aMPeffddoVbvMH8d99y1jWtKWh2JAhk3BzMIyDWNnhkO8yeccILAVJ2OYaPqzjvvnPlyIObyH3/8oVMVyzhWIHEgK71OPvnkzI9AQI0gKliK/uWXX9QheZ+R2nfs2LGZeBUoi9ADQ4cOzXs83ywNBRILMuRF4hsEcslNog4w99tvP9GnTx+ZaB1791q1apXpyQEvHpiVQJxlOgOVBqzFziLRIKsLxxBh2rRpEmoFabFnzEljH97ff/+tquBziSuQCpDz3QMMIRTMTKqeTyG/3iPITBjpF7EFzpYgE+QCaPj1NkEmyH4RW+BsCTJBLoCGX28TZILsF7EFzpYgE+QCaPj1dmpBXrx4cWb6DT7NNL8VSAXIP/74o3jllVcy3mtq/rjQ8ymnnCIQPYi+xv7AnWiQEXwFm1NzgW3cuLE48MADRc+ePeUDfhlIM4bwArnH9uvXT6xevdqfO5rSM00syABVBSkEnF27dhVvvvmmgF9xMUNOEriDIpSWghq+GfC50PWiK9YeP7OjQOJARpAVBTCee/XqZaRUs2bNMkADbITdopWeAokCGe6XqhfFkELFdzOVHeEGVODEGjVqSIci0zpZ3q4CiQFZBRIEyCNGjLCrkhACO6ex6wT1Y78efJtppaNAIkBGHmrVE7/++utO1b300ktlW9iFQisdBbwHGWNiBfGDDz4YibLHH398BmaOmSORvNJGvAZ5zZo1mSkz5N6L0tSsxhFHHBFls2yrgAJegzx69GjZM2I/XtSmQmZhZmTBggVRN8/2chTwGmQ1pIhrez5yj+AcOnbsmCMrX0atgLcgYxkZEIWNWm9TYOzp22STTeR5wHeDFp8C3oKsAn2rNLxxSaiGN5j+o8WngJcgY5s/tvjrbBpdtWqVePvtt0VuHhHcgq+//lp+huegplIv4L8DLT4FvAT5sssuk//Ou3fvrqUcoIOTULYh4jwiE6GnD2sqGhGn4sIqZ+94L0FGcBXAiN5Qx66//npZXvW8mMbDErSuXzLiYOB8mJ5M527YKeMlyEhebvKvHOCivJp73n///WWUId0fbCp4IjzsaPEo4CXIyrvNRLLevXtLLznADKhfffVV7eoQrRN1MIWvtoTGBb0EGdDgYWILFy7MxIQbNWqUSVUyzCzOp0GDBkb1sLC+AqkFedasWfLHnekXAtJjQYYg60Noo2QqQcYYGQsZe++9twRwyJAhRloi4CFAxtidFo8CXoJcr1497aGFys+HOmB169YVderUMVJf/dg75phjjOphYX0FvAR5zz33lCAvX7481JVjSXm33XaTQ4offvhBllU/1ExcQM855xx5Ppx+C3U7rB7sJcgXXXSRBAe7oMNY3759Zbl33nmnXLHq1asbJZ1UOfeQ7J0WjwJegoyFDIxJ1fAgiHQqS+qwYcMqHP7EE0/I+jDWDWvYdY1zwYMWnwJeggy5sEUf8NjK3KR7C+6++255HpiXpsWngLcg9+jRQwKE4Cpx2fr16wUyPeEL9dlnn8V1GmxXCOEtyHDQUf/Sv/zyy1hu5pgxY+Q5IJEOg7fEcgsyjXoLMq5g4MCBEqRcT7bM1Tn+Q2WLmjlzpuOWWH1lCngNMmKyYcYBPTMc3KMyDCnatGkj20VoLlr8CngNMuRDEnXlRISIm1GY2qsH/+XKElBGcT5sw+MxcvbNGz58uOwd0Tt/9NFH2R9Z/1tN45XCjIn1i/O4Qu97ZKU9djKrH38vvviietvaM4YTyKKKNjA2Zsgsa9JaqSgxIEMNtQUKsF1wwQXWghhiG9Tuu+8uId54443F1KlTrYjPSuwpkCiQIcuECRMyydSx/84kGfoff/wh81Wrnh6ROHV3kdi7ZawpnwKJAxkXiR3Sbdu2zQw1AHSXLl3EsmXL8mlQ4T0MG9AD48ecgvi0005jKoYKSpXOG4kEWckLh3e1v08BiWe4bZ500kky/Cwied54440y0IuaylPHYjbkgAMOEOiZaaWtQKJBVtIvWbJEDBo0SLRs2TLTwypY8z0D3nHjxrEHVgJ68BwGZLjzIg2H2kWfe3mIe4LPiz3QXq698MILki+4T+SadZeyFStWiE8//VQ8/fTTGajhL4GTxz4+Jr7JvQV+vA4K8q+//ioaNWok7z1iXeezbbfdNsNGvo4O7+ULHREpyOrEly5dmjlZnYhFqh4+l4YCQUBWsbTVELIQyPCbKfZAeWQGyzWCnKsIX4dWoDKQb7rpJtlxdejQQc48oVctBHKxxq+99lpZD3I35hpBzlWEr0MrUBnISMkBCGEq621YkNetWyeHFIU2dBDk0LeNBXIVqAzk7ON1QZ40aZLsjefNm5ddXeZvgpyRgn/oKuAaZIyZsSBWu3ZtAXeFfEaQ86nC90Ip4BrkuXPnyt4YW9sKWSwgZ28azTeVUuhk+X5pKuAaZCyiYZp27dq1BQWIBGQsWyOACv49IEde7vwgPNrgEITlbISdLXbCBa+EH8SmgEuQP//8c8lLZVkJnIH8+++/i/POO68CtLVq1ZIBB3fZZReBR9OmTQUmwVU+kGzIsYSNrKe00lbAJchYEYa7QmXmBOTLL7+8XM/bunVrMXjwYIHl6mI2ffp00a9fPwm6AhqQP/7449xgWky4mD9zBTJ2x4OD9u3bV3qFVkHG+vmWW26Z6YUPOugggZwjOoZpluzlSnjE0UpTAVcgH3vssZIlBL6szKyBPHv27AzAWHYOGxuu0InCeUS5dGLA/9tvvxU6lO/HpIALkJUbA7LcBjErIN9xxx0ZiPv06ROk3VDH4Bupkt5Uq1ZNOhiFqoAHO1XABciXXHKJZKrQAkjuBRmDjN3TajxrGn0+9+RyXyOTFNrCxDitdBQIAzImARA+AmWKGY4ZO3ZswQWQ3LJGIGM+WE2nwUHetWFVB44ngHmbbbZx3RzrD6hAGJADVhn6MG2Q4SCtdoBEnQ8aEANm7DShxa+A1yAr5/j69etHrqT6IbDhhhtWOqUX+cmlsEGvQVYzCdjdEYepiKC6GVjjOOektuktyCqAIRLaxGVY8VM/MlUqh7jOJe3tegsylpkB0YwZM2K9hzfccIM8D0zV0OJTwEuQETgQTj462ZjgDAQnkJUrV1ZQHTlA8FmYhRSVYw9fKlp8CngJstp/deihh4ZWDjMdgO6QQw4pVxbecfB8w2dhPN/gcL3ddtvJcuUq5ItIFfASZPhPALj33ntPS6wzzzxTllchYTE3rNKWAcyw1qtXL1kf05OFVc7e8V6CrJaKdWVA5CB8EdRmRCxpYxpNJ6sTzkElxDnuuON0T4nlDBXwEmQ4wANEEzv88MNltHssaaOu8ePHa1cH10/UgcAftHgU8BJkQGMK8pw5c2QdqMd0xkH94GvQoEE8d5Gt+pnVyQbIyASlfDRMOSDIpgqal09lj4zUZthwqmKAmQwrcAuQ7gFfru233978jrAGLQW8BFnt2tC6YiEkcJiDhoM8dpOYerE9+uijEmSd6UDda2C58gp4CXKLFi0kODpTZe3atZOLKSrJ5OTJk2Vdzz33XHllQry68MILZR2cfgshmuVDvQQZ27Lxrxw7pMOYCkD30EMPlSsG5yNEuNc1lV+EaRl0FTQv5yXIakzasGHDwAo89dRTEv6+fftWKDNy5Ej5GX60hTVEZbTx4zNsuzy+vAJegoxLQAwK+FsgcHOchjABALlr165xnkbq2/YWZJVXD1lI4zKM0bFbGyC7TlQZ1zX60q63IKtlZkCE3RpxGBJTon04DcEZiRafAt6CDMl69uwpQTr66KNjUVAtqDz//POxtM9G/1PAa5AxD4weEQ9EJI/SMGeMdhl9KErVC7flNci4rAceeED+6MMPPzjFR2G33HKLhBiB7SqLJRfF+bAN4aevRe6N69+/vwQLy87IG+3SnnnmGdkWeuNZs2a5bIp1h1DA+x5ZXSvCwwKumjVrCkQXd2EqhBLaQbhZWukokBiQIWm3bt0yveW9994bONRRZbcDTkZqVwqGMIS4MsWi/zxRIEM+RJvH2BW9JpyLXnrpJW1VAbDa/YH6MEvxzjvvaNfHgu4USBzIkAozGE2aNMn0zog4jm37QVcB58+fLzDuVptRATE2q8Y1X+3u9ien5kSCjNuDVTf0xmquFzCip8YPwj322ENceeWVAkHnEPt44sSJElzsBUT8YxyrHnXr1pUJBpNzy5N5JYkFOft2LViwQBxxxBEyFKwCtNgzhiQDBgxggvVsEUv871SAnH0PvvrqK4EpNKRvVTDDAWnEiBECPskI0kLzT4HUgaxukYqmCZjh+EPzWwGCTJD9Jrjs7AkyQSbIlhTQjlhv0j6HFibqlV5Z9sjskUuPSo0zIsgEWQOb0iuSWpCRDVVNvyG2Bc1vBVIDMnKrIRd1q1atBFbrFMTqGSuAWNmDc9Bjjz0m4GdB80eBxIOMaJubbrqpdL5X0AZ5RphZRCOiz7EfMCcW5ClTpsiwsQpaLHp07txZwCGomN13330CkYzg16zKwgHp008/LVaMn8WsQOJAxhJzs2bNMhDuuuuulaZqLXQPALVKugOoTzvttEKH8v2YFUgUyIsWLcp4r9WoUUO89tpr0gvORGNs889O2A7PuTA5RkzaZtngCiQGZLhjqqFA69atgysQ8MhVq1YJFSm/evXqgX2bA1bPwwwVSATIX3zxRQZiOMS7NCTNwReG0eldqhy+bu9Bxpi4du3aEq6zzjorvAIhS2BYgXE3YN5nn31ClubhrhTwHmQMIwDVTjvt5EqjCvWuXr1aYAyOdi+++OIKn/ON6BXwGmRsBAVMcIyP2vDDEm1jIQURj2jxKuA1yPjRBZimTp0ai4r77ruvbB+Bx2nxKuAtyGPHjpUQYbyqk4LBhuxYxsYXCY8w+atttM06yivgLchYPgZAWMGL01T+kCFDhsR5Gqlv20uQ16xZI7f2I+5EWMMCx4oVK/I6BSHmMj7Dc1BTaSDwpaLFp4CXII8ZM0b2xu3btw+t3Lp162TZ7t27lyu7cuVKUa9ePfnZzz//XO6zYi/wxUCsDIJcTCX3n3kJ8mGHHSbBefXVV7UU6tKli5xtwDSaMhXvGMltwlqPHj3k+YwePTpsUR5vSQEvQW7evLlRD4jlZvSgyOYEQzgtBCecNm2alqwqK1SvXr20yrOQuQJeggz/YtN/5W3atJEORoAXdSEHn65h+g91NG7cWLcKljNUwEuQAY0pyDNmzJB1oCc+/vjjjWRkUnUj+awUTi3ImJ1Q3mym89AE2QqLRpWkEmTMNCClmAobi8AaJoZdJ/gPgTpp8SjgJchbb7210dCiQ4cOcisT8o3Ac84UwAkTJsjzwZI1LR4FvARZ+QTrSNanT59yMxSISI9x8syZM3Wqk2WuuOIKCfI111yjXQcLmingJcj4cYZ/5YMGDQp19ePHj5flcmcoUBci0utau3btZL0ff/yxbhUsZ6iAlyCrbU2NGjUKfPmzZ8+WsOVzhlc9KmInhzXEy8AXAQ9afAp4CTLkggsnYk9kr87FIePkyZMlxOiVafEp4C3I2M2sM7ywLTWiE+E8pk+fbrtq1hdCAW9Bzs5DjX/vcRiCtgBi/Hf466+/4jgFtlmmgLcg4/w7deokQerXr18sN1Tt20OsOFq8CngNMjzV0CPiAb/gKA1Zn9AufnCuX78+yqbZVh4FvAYZ1zN06FAJFHLowastCnv88cfl3DPmn5H6jBa/At6DDAkRnBC9I1boXI+XP/zwQ9kW2nvkkUfiv4M8A6lAIkDGlajdHXhevHixk9uLsTAAxgN79Wilo0BiQMaOZix2ADLML5skU893e/CDEkMJ1I9kk3A8opWOAokBWUl64oknZnrNHXfc0WibPtw7MQZWvTBAfvbZZ1VTfC4hBRIHMrS9/fbbBfKCKAC7du0qtzFh93UQQ+qyRx99VCAntaoDwb75wy6IevEck0iQISWGGsgZgmGGghGO9B07dpTjW/xQmzNnjoQTIiDgy9lnny1zjKjj8Qw3z4kTJ8Zzd9hqYAUSC7JSANv8EcQF873ZgFb2N2ZCsHLHOWKlZGk/Jx7kXPk/+OADMWzYsMyqIIBGr42x9fDhwwWc7Wn+KZA6kNUtYgpfpUQyngkyM58mgmSCTJAJsiUFsIkZQ1VEnso1Z9suOLTIldrv1+yR2SP7TXDZ2RNkgkyQLSnAoYUlIdNcDXtk9siJ4J8gE2SCbEkBDi0sCZnmarzukeF/rPtAfGTlb1G1alXtetC+aVjaNANo69q9BlmBGPdzs2bNbN0P1qOpgPcg169fX8ydOzeWx7vvvit7dYKsSZ/FYt6DjF0gcRkSrOO/AUGO6w781y5B/k+L0H8R5NCSOStAkA2kJcgG4lkuSpANBCXIBuJZLkqQDQQlyAbiWS5KkA0EJcgG4lkuSpANBCXIBuJZLppKkBF4BRtNkakUoWHh0b9kyZLQ0hLk0JI5K5AqkLG1H5mXMPdbrVo1gTX2I9QAAAKpSURBVKArLVu2FHXq1JHv5duiUkx5glxMnWg/SxXIkBaLF+eee265ELSINn/MMcdImLFaF9QIclCl3B+XOpDXrVuXV9Xvv/9egty+ffu8n+d7kyDnUyWe91IHcjGZMeTYaqutih1S7jOCXE6OWF8Q5DL5VdTNgQMHBr4hBDmwVM4PJMhlEvfu3VsOLTCjEdQIclCl3B9HkIUQ8+bNkxCfd955oRQnyKHkcnpw6kFWgVqaN28eWmiCHFoyZwVSDfL8+fPlfDICeiOeclgjyGEVc3d8akFeuHChqFmzpnwghrKOEWQd1dyUSSXISMSOqTbsLjEJ5E2Q3UCpU2vqQF62bJmEuEWLFlrDiWyRCXK2GvH+nSqQEY2+Vq1aclw8adIkMXny5LwPJGwPYgQ5iErRHJMqkO+77z7ZG2NYUeyBJDlBjCAHUSmaY1IFsm1JCbJtRfXrI8j62gmCbCCe5aIE2UBQgmwgnuWiBNlAUIJsIJ7logTZQFCCbCCe5aIE2UBQgmwgnuWiBNlAUIJsIJ7logTZQFCCbCCe5aLeg7zRRhuJ3XffPZYHdmBjYYXROC1TqVGd9yAXW6GL6jOCrEGe5SJegwyn+FJ4LF++3PJtYXVhFfAa5LAXy+OTqwBBTu69TdWVEeRU3e7kXixBTu69TdWVEeRU3e7kXixBTu69TdWVEeRU3e7kXixBTu69TdWVKZCjWgQr1k6+ONtVUnU3eLHaChBkbelYkAoEV4A9cnCteGQJK0CQS/jm8NSCK0CQg2vFI0tYAYJcwjeHpxZcAYIcXCseWcIKEOQSvjk8teAKEOTgWvHIElaAIJfwzeGpBVeAIAfXikeWsAIEuYRvDk8tuAIEObhWPLKEFSDIJXxzeGrBFSDIwbXikSWsAEEu4ZvDUwuuwP8BIF4eBr2wNQwAAAAASUVORK5CYII=[/img]
Write an equation to describe each hanger you drew. Describe how each equation matches its hanger.