IM 8.5.8 Practice: Linear Functions

Two cars drive on the same highway in the same direction. The graphs show the distance, [math]d[/math], of each one as a function of time, [math]t[/math]. Which car drives faster? Explain how you know.[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWkAAAFPCAYAAACPjj9lAAAgAElEQVR4Ae2dB5QVVZ7Gnbyzs8dZZ1UURZEoigRBkCAgkhXJIChZQEFFxDGACRlUQMQAqAiCKDmIEiQLIjkrSSQoYTCh4zi6u7Ph7vn9d4rpaft1v/e63ntV9b46p093v1d169Z3b331r+/+wxlOmxAQAkJACAQWgTMC2zN1TAgIASEgBJxIWpNACAgBIRBgBETSAR4cdU0ICAEhIJLWHBACQkAIBBgBkXSAB0ddEwJCQAiIpDUHhIAQEAIBRkAkHeDBUdeEgBAQAiJpzQEhIASEQIAREEkHeHDUNSEgBISASFpzQAgIASEQYATSQtJ//etf3eeff+7Wrl3rTp48WSAc//Vf/+W++uor9/HHH7sffvihwP21gxAQAokh8N///d/u+++/d2+88YYbNmyY++KLLxz3qbbgIZAWkv7uu+/c0qVLXfv27d2GDRsKROHrr792s2bNcmPGjHH8rU0ICAH/EPjf//1f9+2337oVK1a4Ro0auSZNmrijR486iFtb8BBIC0ljRQ8ePNhdeeWVbs2aNQWigAXdtGlTd/3117vDhw+7//mf/ynwGO0gBIRAfAj8x3/8hztw4IBr27atq1ChghlEusfiwy4Te6WMpHlaewN/5MgRe2K3bNnS7du3L9/r5LgpU6a4c845x/3ud78ziUSSR76Q6UshkBACn376qXvqqafchRde6EaOHOn+8pe/JHS8dk4vAr6SNJrWn/70J3fo0CG3c+dOt2PHDnuNWr58uatYsaK788473WeffRbzCtGikTdat27tfvWrX7mf/exn7t57741Lx47ZqL4QAkLAEOD++uabb9xLL71kFnTPnj3tXvWMKcEUTAR8I2kG+tSpU27btm2ue/furnr16q5GjRpGsjytL730Uvfcc8+ZFhYLCp7oyCFly5Z1Z5xxhvvJT37iSpUqZW1iYWsTAkIgOQS4P9Ghly1b5q655hpXrVo1t2fPHvef//mfyTWoo9KGgG8k/e///u9u4cKF7qqrrrJJgAY9evRo16JFC3f11Ve7YsWK2eIh+8Xa0K4ffPBBd9ZZZxlJQ9S/+c1v3JAhQ2xRQ0QdCzl9LgTyR8DToZs3b27349tvv+2wrHVP5Y9bEL71jaR5KvP6dNlll7k333zTffnllyZdzJs3z5UvX95dfPHF7pNPPom5gszK8u7du836RuqAoPlB8mD1GV1bT/0gTBn1IUwIQMJY0dx79913n72lem+0IuhwjKRvJI2/JbrzwIEDTy9EYDVv3LjR1a1b19WsWTNfn2fc9ObPn+9++ctfmszhkTS/L7nkEjdjxgz35z//ORyoqpdCICAIYC2zTvTMM8+40qVLu9tuu80dP348IL1TN+JBwDeSvvXWW03nWrdu3WmLF6+MlStXGkkzOXjlirWx4nzLLbf8iKAh6X/5l39xvXv3znfRMVa7+lwIZDMCGDZvvfWWSZD169d3H330kckc2YxJ2K7dN5JmofCGG274h0nAE/zFF190lSpVcpMmTYoZ0cRr15IlS0y3zmlBe3//4he/cCVLlnT79+/Pl+jDBr76KwRSiQBvp5AyMQe1a9d2eFnhgSWZI5Wo+9+2bySNzyWWMNoXEwGrmSimNm3amAyCZs2rV+4NvQxZpG/fvu6f//mf3U9/+lP385//3EHM6NHeD/8TgYgHiTYhIARiIwAJc6+xjtOrVy9XvHhxN2HCBJMbRdCxcQvqN76RNHpXu3btzNqFdE+cOOHGjh3rfvvb37qGDRu6Y8eO5bloyL4sGFatWtUIGU2aQJYiRYrYsWeeeab79a9/bd/h0rd3796gYql+CYFAIMAiPP7QBKxA0HhMcT+KoAMxPAl3wjeS7tGjh2nSyBssFrKC3LhxY/Nz7tevny1eYDXn3phMkHmZMmXMAwSXveeff941aNDAPD2efPJJawcXPn5effVVuePlBlH/C4G/IcA9xj01Z84ckzjIzUEIuDyjwjtFfCPpVatWGbHiglelShVHCPiCBQvsM161mCR5PcnJitenTx/z3XzsscfM4iZfR8eOHV2zZs1sghHBiPsQ2nb//v0te1dehB/eYVDPhYA/CKBD87bpBZMR+ZuXzOjP2dRKOhDwjaQh4V27drmpU6eanzTaNFIG3h1IHXltEC2vYSNGjHBbtmwxIuczXIQ8kqYdPqOt9957z0JaDx48qImXF6D6LKsRwAhCOrz55pstXoEcOFooDP+U8I2kmSA8sSFTFg3RxfgM8o6VApHvcdMjl21OSzsnSeOax8a+tIvHCOHjsqTDP/l0Bf4hABlj8PA2SlqFRx55xHLecN9oCzcCvpG0nzDkRdJ+tq+2hECUEPAWCqdPn24L8KwFYfhI5ojGKIukozGOuoosRoA3y02bNtmaDTnYY7m7ZjFEob50kXSoh0+dz2YEkDKQOdChW7VqZQv2pE9AcpTMEZ2ZIZKOzljqSrIMAQgaaXDQoEEWkYserWCv6E0CkXT0xlRXlAUIYCmTl2PcuHFWlo4c7hRvlgUdvcEXSUdvTHVFWYAAASskMyPzJDEJ6NBY1tqih4BIOnpjqiuKMAJYyriibt++3RKaETg2e/Zs+UNHeMxF0hEeXF1a9BDArY7gsLvvvttdcMEF7uWXX1ae9egN8z9ckUj6H+DQP0IguAhA0BRqHj9+/OkUCejQsYLFgnsl6lkiCIikE0FL+wqBDCGAzAFBU0iW/DitW7e2HB3SoTM0IGk8rUg6jWDrVEIgWQSwlteuXWtVjkjr+84778iTI1kwQ3acSDpkA6buZh8CyBxkgrznnnvMH5rESar3mT3zQCSdPWOtKw0hAsgZ6M7kZydV74ABAyxftBKMhXAwk+yySDpJ4HSYEEgHAvhDE+pdokQJ16FDBytJp4XCdCAfnHOIpIMzFuqJEDiNAAuF5OAgYKVOnTpWpQhNGulDUYWnYcqKP0TSWTHMusgwIQAJI3OgQ99xxx2uXLly7o033nBUXdGWfQiIpLNvzHXFAUcAOYPiFgMHDjSCHjJkiPv2228D3mt1L1UIiKRThazaFQJJIvDll186PDhKly7tunbtajo0Moe27ERAJJ2d466rDiACyBxIGqtXrzZ/6Lp167p3333XSsVJhw7ggKWpSyLpNAGt0wiB/BCAhD1/aIowk5dj+fLllkwpv+P0XfQREElHf4x1hSFAgELM1CUkYKV8+fLuhRdeMB1a/tAhGLwUd1EknWKA1bwQKAgBiPjzzz+3xEmXX3656927t3TogkDLou9F0lk02LrUYCLwww8/uBUrVpgFXbt2bbdjx45gdlS9yggCIumMwK6TCoH/RwAreteuXa5du3YOK3rDhg0O0tYmBDwERNIeEvotBNKMABGFJPDv27evq1y5snv++efNP1qeHGkeiICfTiQd8AFS96KJABY0C4XDhw83f2gKyZIvWnk5ojnehbkqkXRh0NOxQiBJBIggXLBggStTpozVKjx48KD8oZPEMuqHiaSjPsK6vkAhgAVNXo4tW7a4Fi1aWOKk9evXWzKlQHVUnQkMAiLpwAyFOpINCFDpG5mjTZs2VgZr4sSJSuCfDQNfiGsUSRcCPB0qBBJBACv6j3/8oxs0aJC521HxmzBw6dCJoJh9+4qks2/MdcUZQuDUqVNu/vz55mrXrVs39/HHH2eoJzptmBAQSYdptNTXUCKASx06NEEq1apVM3e7bdu2Wa6OUF6QOp1WBETSaYVbJ8tGBPCHPnDggGvZsqW74oor3KxZs9xf/vIXVVjJxsmQxDWLpJMATYcIgXgRILPd8ePH3eDBg13FihXdo48+aguF0qHjRVD7iaQ1B4RAihBA5qCQ7LJly9x5551nCfw/++yzFJ1NzUYVAZF0VEdW15VRBLz80EuXLnVVqlRx9evXd9u3bzdtOqMd08lDh4BIOnRDpg6HAQGSJJE4qX379q5SpUrurbfeUiHZMAxcAPsokg7goKhL4UYAHRp/6AceeMDc7R5//HFHUn8lTgr3uGaq9yLpTCGv80YWAQrJTp482Upg3XXXXe6rr74SQUd2tFN/YSLp1GOsM2QJAkQUInMgbVStWtXdeOONbufOndKhs2T8U3WZIulUIat2swoBpAwIevfu3ZY4iTqF77zzjvv++++zCgddrP8IiKT9x1QtZiEC+D2fPHnS9ejRw/JykMCfIBasa21CoDAIiKQLg56OFQJ/QwD/Z4i5ZMmS7qGHHrJMd1oo1PTwAwGRtB8oqo2sRQBLGUmDxEmXXXaZa9Wqlfvwww+1UJi1M8L/CxdJ+4+pWswiBNChN27c6Bo3bmwk/d577ymBfxaNfzouVSSdDpR1jkgiQAJ/8nJ07drV8nLMnDnTrGrp0JEc7oxdlEg6Y9DrxGFGACImYOXZZ591xYsXdwSs/OlPf9JCYZgHNQ19Z97wk0iCLZF0GgZGp4gWAtxkWNGTJk1ypUqVch06dHB79+4VQUdrmH2/GhaSiTxFIiNVbbybSDpepLSfEHDOFgRZKER7btSokYV9E7DCjadNCMRCAHIm8nTdunXm/UPx4Xg3kXS8SGk/IeCcLQoeOXLE3Xzzze6qq65yc+fONata4AiBvBDgrYuHOnNm2rRprlatWu6aa65xFCCOdxNJx4uU9hMCzrkTJ05YIdmLLrrIDR061DLbyR9aUyMvBCBoApoom3bnnXe6EiVKmBfQvHnzEqoQL5LOC119JgRyIcBCDwuD48aNc+XKlXOdOnVyn3zySUILQLma1L8RRYCHNmsWLCyTx6VOnTpW15JkW5RR+/Of/5zQ+oVIOqITRZflHwJYRCz0rFy50jVs2NDVrFnT7dmzRzKHfxBHpiXS1H733Xfuo48+cs8884wVfGC+4AVEVCrfJ7qJpBNFTPtnHQIs+hw7dsxde+21rnr16m7RokUi6KybBQVfMBY0b1s8zFu0aOHKlCnjOnfu7N5//33TpZOVxUTSBWOvPbIYAazoo0ePui5duriyZcu60aNHJ/y6msXwZcWlM0eQN5C/cMusVq2ayRusWXz66aeFTrQlks6KaaSLTAYBdGjcpkicdOmll7q+ffuaRZ1MWzommgj89a9/dV9//bXbsmWLVeKhVBopAmbNmmWfJ2s950RLJJ0TDf0tBHIgwMr88uXLXY0aNayQ7KFDh7RQmAOfbP8TAj516pQjHUDt2rUt8nTAgAFu//79VujBD4IGY5F0ts80XX+eCLBQePDgQXttRYcmCAHS9uvGy/Ok+jAUCCBvfPvtt+apQToACjzwIJ8+fbqjdBrWtZ/zRCQdimmhTqYLAW4uVuBZne/du7e52+F2R0ACN6e27EWA8YeAv/jiC3vD6tatm0WcsjjIYiFeHamYIyLp7J1zuvI8EPCsJNynLrjgAgtcwXVKmxCAoLGUR4wYYa515G154YUXbHHQT8s5N9Ii6dyI6P+sRQCCRuZAh/YWgCiJhQuetuxFAAJGe966davr06ePq1ChgmvatKlbvHixLQ5C3qncRNKpRFdthwoBXlc3bdpkwSoNGjQw/1Zcq7RlJwI8tJG58JFHb6bqDgR9zz33uG3bttnDOxXyRm60RdK5EdH/WYsAIbskTiIIYcKECaZNp/I1NmuBDsmF84AmMRIeG/jIV65c2cgaqzqd80IkHZIJo26mDgGsIXRntEYSJ917773mH53OGzF1V6eWE0UAeYvFwWXLlrnmzZvb4iDVd7CekcOSCe1OtA859xdJ50RDf2cdAgSsIHOQRrJq1arupptuSjrHQtaBF6EL5oHMw5rkR4cPH3bPPfecq1evnqUBeOqpp+yzTK1NiKQjNNF0KYkjgOaIhUSlb5InkVYyUzdj4r3XEX4hAEHjB0/kIA/qokWLmhXtFRbO5FuVSNqvUVY7oUOA11ay2bVs2dIWhCZPnmw5GNKxGBQ6sCLcYciZgsJTpkyxJFpXXnmle/DBBy1YhYd4Jgka2EXSEZ58urTYCEDEuNc9+uijFs6LHk2eDm3ZgQDEy0OayMHt27e7hx9+2CrtNGvWzKqmfP755xa4EgQ0RNJBGAX1Ia0IcIOycv/qq69aSC++rwQpZNpiSisIWX4y1iIgaCIFmzRp4ooVK+ZYHETuSrXfc6LQi6QTRUz7hx4Bbs7Vq1fbqj1BCdyY8ocO/bDGdQG8QTHWVHcnu2HFihVd3bp13dNPP20LxkHMzyKSjmtotVNUEOAmhJRxrSIxzpw5c3xPiBMVrKJ2HZAzPs4sBpJ29oorrnDt2rVzCxcutGT9QV2LEElHbSbGcT281vO6hybn/fB/uiYp5+F8uX/4PJWSA+3jD33//fe7s88+202dOjWhgqBxQKtdAogAc4p5ju/zjBkz7OFcunRpWxykDmHQ5I3cEIqkcyMS8f+ZkJT4Ieft2rVrzWEfXQ7rksUSiDOVG+3zqonbm/fDwg2fsZBHsEAqHhacl7ZJiIO7Xf/+/dNyvanEUm0XjIA37l5SfooIX3/99acjB7kfUmkYFNzDgvcQSReMUST2YCLiTgQ5UxSzV69erk2bNvbaTz020i0+9thj7ocffkjp9eKD3LFjR9e6dWvXvXv30z+kBR04cKBZOrhD+WndcO08mN58802HexU36QcffCAdOqUjndnGGXPkDR788+bNM1mjSpUq7s4777Tc4KxLBJ2cPQRF0h4SEf8N6ZHEnhy4rGTjakRU1dy5cy1Pxa233mqf5SRpJnFOaSIvOYJ9cv6wT177efDSPilAr7nmGjd+/Hj7GTt2rKUE5SYiR8LLL79sVq93TGF/c+07d+40H1h0aDRJbdFFgPkHQZ84ccKNHDnS5hQWNPMMTZrvw7SJpMM0Wkn2lUmJJcliCURIMVWkDUJgkQAIi+b7nHIHx2B5M6kpxEomMGq55Vz95lUS0s35QxvofBzL97k3j6Rxd+K83g/nJ8FR27Zt3SWXXOK++eab3Icm/T/FQEmSU7x4cff6669Lh04ayeAfyLzF3x0JD4ME7w3e3FasWGFzHG06LBa0h7ZI2kMiwr8hzDVr1hj53XbbbfYKyGSNtTGJIW/kASQQyL1fv37m8E87EK1H0OReHjVqlMkovFaSxhHZgv3yCq/2SBrLPefGzcVDg+CSIkWK2AMh5/fJ/I0FDfl7JY7oF6+/nEtbtBDw5iMPZN7QGjVqdLpiN+sdGBdhHXeRdLTmap5Xw6r2HXfcYaWgSCRU0AZJowuT+B4fUvRiLF9eGbFMKC3F6yTW7vDhw03nffHFF21BjpujR48e7p133slT3/ZIGj2aNrwfHgpY61i8uEZBroXZuAZ0x9mzZ5s/NAELeHbk93AqzPl0bOYQgKB5IyOtKEZIyZIljaCZg8yBsG8i6bCPYBz9x7ro1KmTVTSGYOPZsIKxhpEuIEwI+bXXXjOSfvLJJ+1/5A/+RkaoWbOm+Zt6Mgrkm5fl4pE05E+uBH7ImUEdQR4kLGa+++67Rt7x9DPWPpyfShr0i3NxLWF81Y11ffr8/xGAoD3XOhJk8YDnQb9r1y57G+T7sG8i6bCPYBz9J/Vi+/btHdVGIOx4NggNKwRNmpsAK5QFN9zXSD6D7ueRtOdzyitlQTeFR9LkbW7cuLH9cHPVqlXLUoU+9NBDdoPRVjIbFjQPB6yqW265xZUoUcLNmjUrEhZVMnhE9RjmGfMTo4O8GyxE8zCeNGmSjT1SF3MhCptIOgqjWMA1QNIdOnRw9evXd5988kkBezuzONGH8QZhwQUpg7BZtGmKbxIMQq4Lj6RZjPzwww8LbJcdPJLGskcf5odVeI6n+Gv16tVdly5drO28LPGCTuI9XHC1oq9o3EqcVBBq4fke4mWMebtbv369LTTzJocb6ebNm21+RYWcvVERSXtIRPg3+jJ+0GjMTOyCNqxmiBlLl7BZKpWwgIgccfnll7sHHnjgH0j66quvNoumoHb53iNpdGskFe8HeQJdkQTruOgtXbo0KTc8ZBmsKUod8SDgAYBVpS0aCPCGxdsgeTewnqtVq+aeeOIJd+jQIZPIknmwBx0ZkXTQR8iH/mF1YAnz6g8JskiX32SeP3++ac+3336727hxo7ngYTlD8Gh+uUka3Rf3uXg2j6Rze3dwLH1Cmz7//PPd0KFDE3aVg+SJnMSyp6oGEY20GTXLKh6co7QP44e8gfTGmPJGR1DSjTfeaB5IvClF+UEsko7SbI5xLUxgZA60Y14LCcNGzsB65TusWf7mhxsCzRlr1vMtZR8sGFbL0aT9IOncljTtozEOGTLEnXvuuebPzMMkns27idEniSa8+OKLre9cj7ZwI8BDlnGEiJl/SHb40ffs2dPcPrNhMVgkHe45HFfvITEsWPJWIHmQAQ5PDTQ8iI0QaYpu4ucMYeNn6i0GohUTzLJkyRKzXCDA3Jp0MpY01VC83B3kVcCjg1fYa6+91jwycgbWFHSR3KhY+nfffbdV+iaSkps6v7eFgtrU98FAgHm7e/duMxyIFr3uuuvMG4jxZq4yt6O+iaSjPsJ/uz5eFyG+CRMmmCsecgBkjctbq1at7G8W7LBaWGikzluNGjUsx8bNN99s+6FLs4I+bNgwW7jBGifUFu0aH+d4NtrH15rXVc7t/fDqStvoyFjw8Xp3QMS8BhNKTrv0m8XIKL/+xoNzmPeBeD3redWqVbYuUqFCBfPVf//9923u8WDOlk0knS0j/bfrJPrw448/NmsZi5hIQn6/8sorlomOyQ/B4XbH4iFReoMGDbJXTRbh8DfesGGDkSg3EtYw+T/iDT6hffyiIfecP5yfUF4sJM4fr4WEJIJujicHVhayTrzHZtnQh+JyeehiPfP2NnHiRHvz4+FL1GgY0oqmAmSRdCpQDXCb3ASexgxhQ3L8xnL1yBGSg0y5WfiOHwiZ7/mcH9rx9uP/gvyjPUg4hrZoO+cP5+dz2oqXZNkPfZ1kUSwWEqJOG9rCiQBzinlACl1KmhE5iH//W2+9ZesVicyNcCKQd69F0nnjok8DjgB6JJY9HiiXXnqp5Q9B9oiX4AN+eVnXPR7YWMqkLUA+w4XyvvvuM/95vHayeVxF0ll3O4T/grHaCaQhmx/eJmjm3MjxWvPhRyAaVwDxMma8qZEEiTwwLFgTfYorJt4+WM/Zvomks30GhPD6IWQWlMqUKWNBOgQ3cLNns7UVwmG0MSP46O2337YFZAgamYM1D4jbk9TCeG1+9lkk7SeaaiulCEDC6OK4DBLlyA86NDqmCDql0PvaOOSLvMEiL+6SVatWtTUF/uYzvtN4/h1ykfTfsdBfAUcAgmbVn2TuBDTwShyvV0nALy1ruscYMmabNm0yqxnruWnTpuY9hEunyPnHU0Ek/WNM9EkAEeDm5dWYiERC03EL5KaWDh3AwYrRJSxo8sIQLEUAFK51jOe+ffvMeuZ7bT9GQCT9Y0z0SQARYKFw9erVln+EAgRY1CLoAA5UHl1inHigEjlI5R4CUwjvpvIPAVZY17Kg8wDubx+JpGNjo28CgAA3L+525LIm4xmpTAl60ap/AAangC54YwcRk3aA6FIIGm8c5A4WB7UVjIBIumCMtEcGEcDKIkKSG5u8IWToy3a/2QwOR0Kn5uFK8QUyGiJRsUD40ksvmeQh6zl+KEXS8WOlPdOMANYyiZJIr0oea3KG4DsrmSPNA5HA6bCeGR/GDS8cKnVD0ESFkuoW2UpvQQkA6pwTSSeGl/ZOEwLc7CwUzpkzx1Fqi8K10qHTBH6Sp4GccZ8jEpQsiyTxQt5gkZek/LKekwNWJJ0cbjoqhQh41tjChQstPJhFJtKqyoJOIeg+NI3GjKdGr1697M2HtLMEqpA0i7FjXLUljoBIOnHMdESKEUDL3L9/v/lDE1VIsne8A7QFDwGIFwsZ1zoeqmQixHqmegqEzfqB5I3CjZtIunD46WifEeCGx/Ki+gtaJjq0Fgp9Btmn5rCOyaJI6bRRo0ZZzg38nykoTOQg5CzrufBgi6QLj6Fa8BEBMtkRHkz5Lip+e6/KPp5CTfmAAOSLvIFrZOvWrc3zhkVCkvJ7eTd8OI2a0MKh5kBQEOCmZ9Fp8eLF5qpFqPDOnTtljQVlgHL0g3FiEfeNN96wKj/k8h48eLBV9BFB5wDKpz9lSfsEpJpJHgEImmT9pKvs0KGDpR9dtGiRyRzJt6oj/USAMULewAWSajwUKyZNLIV/p06dKtc6P8HO1ZZIOhcg+jf9CHDzI3O0a9fO0o9SNgmtE2LQFgwEGCPWBqiSgtcGclT//v0tKT8LvRqr1I2TSDp12KrlOBHAM+Dpp5+2OoUsGPK/PALiBC/Fu0G+PDB5yyEZEkFF+D9T0Jhwb6UVTfEASJNOPcA6Q2wEyHoGAcybN8/yCVMxnFdpZUOLjVm6voGcsZAJKCJnd48ePVy5cuWsyILnEol1rS31CMiSTj3GOkMMBHC3+/DDDy0jGvmh9+zZY8QQY3d9nEYEIOCTJ0+6Z5991qxn9GfKlR0/flxvOWkcB04lkk4z4Drd/yOAlXbs2DF30003mTcH4d9onrKiMztDkJkYh40bN5rm7C0OokWzbiD9Of3jI5JOP+ZZf0aIGCuNQBUqc5Db4YsvvlDYd4ZnBmXIqNg9ffp017x5cwvJv/vuu92uXbtMlspw97L29CLprB36zFw4WifudvjYFitWzMiAdJbaMosA40JiJFzrihYtahIHY6Ssg5kdF84uks78GGRVD9CheZVu2LChlVAiRwceAtoygwDyBlGdBBG1atXK8m707NnTFnCpRYg2DYFryxwCIunMYZ91Z+Z1mpwOkAGVvnmtxrtDW/oRgHx5OH766acWhl+3bl2rejN8+HDLxaEK7Okfk1hnFEnHQkaf+44AfrUDBgwwmQN/aIhAC4W+wxxXg2CP7zMBRMhOkPS6dev00IwLvfTuJJJOL95ZeTZel9E2X331VYsopJAsrlwQtF6l0zclwBoLGq+aGTNmWFpRakbee++9VkPEs+YAACAASURBVCQWrw6+1xYsBETSwRqPyPUGImahkNJJ5Bpu0KCB5YrmM23pQwDtmZzc+KXjTXPVVVdZeDcVVFgwlPacvrFI9Ewi6UQR0/4JIYBfLe52FStWtJ8FCxaoSnRCCBZ+ZyxorOTt27fbg9LzqmHRFtlDW7AREEkHe3xC3TusaNzrbr/9dgspHjFihJGFXqnTM6yQMyR88OBBS8RfuXJlSy3qRQ5qTSA941DYs4ikC4ugjs8TAQiCytCeDk3GNDw7tKUeAU97Bv+tW7e63r17uyuvvNK1bNnSSlwpcCj1Y+DnGUTSfqKptgwBjyTwhyYpT61atYygZUGnfoKAPfozC7UzZ860oBSCU+677z6LJtQYpH4M/D6DSNpvRNWe+d9SVeWaa66xgBWyqCk/dHomBtrzjh073MCBA816psINkYOsC7BYC4lrCxcCIulwjVfge4sVhw7dr18/s+LGjh2rmncpHjWIlwVaIgdJhETNwfLly7s77rjDfJ/lWpfiAUhx8yLpFAOcbc3zmk1C+LPOOsusOfRPbalDwCNoEiOxIEjWujJlyliKUYonKFgoddinq2WRdLqQjvh5PC2UIIlKlSq5Nm3auEOHDik/dArHHQLmoYicRIAQ+j+/V65c6ci7obSiKQQ/jU2LpNMIdpRPRZXozZs3WwJ/tOg1a9YoxDhFA84DEbzRmakHSYAQZa0ef/xxK5zAd+yjLRoIiKSjMY4ZvQosOtzrunXrZtYcOrQi2PwfEogXrPFv3rdvn+VBueiii1ydOnVMi5b27D/mQWhRJB2EUQh5H0ic9MQTT7giRYq4P/zhD+6rr76SJZeCMWVRlpqD06ZNc9SDvPTSS0335w3GI2hZ0CkAPsNNiqQzPABhPj3WMukuJ0+ebCHfN998s+nQkIk2/xDAesaF8eOPP3aPPvqoq1atmmWtI1CIVKPKx+0f1kFsSSQdxFEJQZ+w2CAHItpq1qzpatSo4TZt2iTC8HHswJgHIQQNtiwKFi9e3DVr1sytWrXKsIbAtUUbAZF0tMc3ZVeHtYz3Bq/dJE/Cq4NgCZGGf5CDMVr/888/bw9BCiWQlP/w4cPyPfcP5sC3JJIO/BAFr4NYeHgWPPLII46Fq3HjxlkgRfB6Gs4eQc6kFSUxEjlPcGmsV6+emz9/vkP/pwSZtOdwjm0yvRZJJ4NaFh+DpYzM8fLLL7uyZcuaRweWnUij8JMCDCFoAoCoOUjOE4JTbr31VtOjpT0XHuMwtiCSDuOoZbDP6KMQCBU90KLJ0aGcxIUfEAgaCxkJicXBK664wnKf4AdNUn5JSYXHOKwtiKTDOnIZ6DdkDImQtIfUl6tXr7aoNunQhRsMyPnUqVMWAHT99def9pQhURKfy+e8cPiG/WiRdNhHME39h4ipS0jKS3Ro5A5CkiVzJD8AYEroNrhSxoqFwQoVKrjBgwfbgiHfaRMCImnNgQIRgEwINX7yySddyZIlLbsaXgdYeNqSR8BzrevevbuFdZOUn/JiWM9aHEwe16gdKZKO2oj6fD1YykSzkQITSw9/aAVQJA+ytzhIhrpFixZZMVj057vuusvt3bvXvDr08Ese3ygeKZKO4qj6eE0sWFGwtFGjRhblRuIkkUhyAIMbbyQHDhxwQ4cONc8NogeRjnCtk3SUHK5RP0okHfURLuT1IWt07tzZZA7CkLGqRSbJgYqGv2TJEtekSRPL+dyrVy/LHMjnuN5pEwJ5ISCSzgsVfWakQSHThx56yPyh77nnHgtgkSdHYpPD0/NZHBwzZowFprA4SBTh0aNH5VqXGJxZubdIOiuHPf+LhliwmOfOnWs6NLki0KHlbZA/bjm/5W0DeYPIQfJuUE6MrHWE0aPvk81OD7yciOnvWAiIpGMhk8Wfo0N/9NFH5gt93XXX2Su5qnwkNiGQL6iO8sorr1i+51KlSlkaVxYHwVe6fmJ4ZvPeIulsHv08rh3rjpSYBFVQjmn69Onyh84Dp1gfYUFjPfOQe/DBB03eoFLN1KlTTS5SdGYs5PR5LARE0rGQycLPse5I2E/iJCy/xx57zFHgVFvBCEDO+Daj4+Nad9NNN9niYM+ePd37779vofOSNwrGUXv8GAGR9I8xydpPCK7A4qtcubJr3769RcJBPNoKRgCcSIw0bNgww4+K3S+99JItDkoqKhg/7REbAZF0bGyy6hsImlwRBFY0btzY7d6927RTudvlPw14+0B7ZnGQyjTly5e3Sunr16+3yEEttuaPn74tGAGRdMEYRXoPSJhFrl27dpn1DEnPmjXL0pGKoGMPPdiwAIg89Prrr1uwDxo+uU0+/PBDkzeEX2z89E38CIik48cqknt6OvT999/vihUr5kaNGmWv7SKY2MMNNjzYqNhNQAr5TBo2bGgpXCFt5d2IjZ2+SRwBkXTimEXmCBayiHabNGmSZV/r1KmThSfrFT32EIPNl19+aYuDJESidBhJ+bds2WK+zzz09ICLjZ++SRwBkXTimEXmCHToFStWGNG0atXKffDBBwpYiTG6PNCojELeDd42SDaFa93IkSNPRw7GOFQfC4FCISCSLhR84T0Ya4+qKiwSUkOPKDh5IeQ9nmCFf7On25NP+4YbbnDvvfeeRWbKes4bN33qDwIiaX9wDFUr6KnHjh1z5OMoXbq0WYZoqXpN/8dhBA8eXCSZIik/JcNI1Tpo0CB35MgRC1qR7/M/Yqb//EdAJO0/poFuEasPHfq5554zf94777zTPBQgbm1/RwA8yF+yZ88e89ggKRKLg/iRk1Y0UbwgfBYUSVUK/rjt8UN0YrrDxL2+cH2JXsffEdJf6UJAJJ0upANyHkhi1apV7pJLLrGoOELAFbDy48GBSIkchJzB6rbbbrP6juCXqPUMKXpeNNSFpMLN73//e7PIWbRNdxEF+kLgzbRp0yyilP5pCy4CIungjo2vPfOsJ4Iu6tevbwtflGpCa02UdHztWIAaAwfwwLVu+PDhlmAKrMaNG2eLgywcJooVuGMxv/322w7vGeQSvEIIG2/Tpo1r0KCB5UmhwG+6NspzEfJ/8cUXu5kzZ5p1n65z6zyJIyCSThyzUB7Bay05jW+//XZXokQJ01i5WbU50+J5myB9KG8ZXbp0schLIgiXLVtm+TiStTYh9rVr17patWrZIu2LL75o/7Nou3HjRvfmm2+aCyQSChvnwdJFC+eBwfGeHJKzD+zj+WPzN/uwbzzyBRIOD4uyZcvag+PEiROaBgFGQCQd4MHxq2vc3LymP/HEE5bTmET+ymf8d3SxjsFjwoQJhg/yBlhRh7CwHi8s0JLulUhOpA7PGuec/ECw/HgWOr/ZB19sypYRvcjDFXdJ9vM2xpNkTpAy30G0eJ/EswCM3HL55Zeb3EL5rnfffddrVr8DiIBIOoCD4neXIKA5c+ZYZrtbbrnFXuchn2zfIES0ZySgAQMGmL948+bN3bx5804H9eS0XpPBC835sssucw8//LCRvkfGebXFuRgrFnUpDoB7JLUlr732Wlu8hLS9bfbs2fY5OUKQZpBl6tWrZzpzrD5D6JB4x44dbREUUuccffr0KfTDyOuXfvuPgEjaf0wD0yI3K6/BWErcwFWrVrXgFW7WWDdyYDqfwo5AlEgFEBZ5SiBmqqYMHDjQIgexTPMj00S6RjQiJL1u3TqzkPM7ljFBgnr66aeNqKmMw8MVgif0nMAZz5omw955551nBNutWzc3fvx4I2ikjFhji4W+dOlSK0JAMQIe1Hj31K5d24J09ODOb3Qy951IOnPYp/zM3NDkg+7atasrUqSIW758ubmVpfzEAT8BBI1UQL6S4sWLm/cGZAhBxiK4ZC+JlK9IHbTtEWx+bfEAhSzpI/vzP8eiH7OeANHSR7Ttc845x9WsWdNt27bt9P759Z92hgwZYhY4RQl4ECHB4P89duxYe6vIr2/6LjMIiKQzg3vKz8rNDRE98MAD9hr/hz/8Iev9oSEw5ITFixe7du3amS5LgiQW9sAqFZYk54GkOW881jnkjP8yWjZh+iwuYv1iSffu3dvWFjySPv/8861AA+50+ZEzk41z4+pXpUoVOwZvEkgbzZuUAHib8L224CEgkg7emBS6Rx4ZsRBG8vkePXqYj28qSKjQnU1DAxAUFujJkyfd6NGjzZKksMGzzz5rwSrgEg+BJtNV9F9yTFMZHALOb8NyZrESKQIZgjcg3PZatGjhzj77bCNppBiPpC+88EK3ZMmSuFzoWGjE5fKss84ynRurnHMwN/D0oC0qyBTUx/z6r+9Sg4BIOjW4ZrRVbnZcySAiXmW3b9+e0f5k+uSQMAVgca274IILLDHSypUrzWItyAItbN/RpAm9x08ago210Q9c7iBlPC8gUNzzGDv6Tq5qFvhykjQ5RCjUEM/DF9kL/2zS0V511VWGAQmi0KOvvPJKd+aZZ7oXXnjBIiBj9VGfZwYBkXRmcE/ZWSFoMrXhxcFrNpYWHgzZuGEV4n9MUv6mTZsaGaFD46OcrpBoEldButQ6JAdILIudBV6kDRYZ+/btaxY1QTCMHQQL0SN35CZpriUe6xeJh7SqyF5EmdKm94PkwcMEV0ECebQFCwGRdLDGo1C94WbFv5abmRsSbwB0x1jEUKiTBfhgrFJI+ODBgw6fcLxasBgnTpxoPscQYro2/JfRvVn4Y3EOYoR4ydnBD1o1vyFkHqgUAKa6C/twDYwfFjULv8mQNGOPpU0YOg9tr2pMzuvn/FOmTDGc8BrJtvmSE4sg/i2SDuKoJNknbniIgHBfLCNucBYQs2mDYCBhXN5IiPRv//ZvrnXr1hbowUMs1fJGbqw5J/7NRBwyLnh7YNmzGDh//nx7kN51112nrVoeruy7cOFC89ogJJ0HDDIN+UMStaQ5Pw8rUquyQAg2uTFgjvDGwXl44/A8SHJfi/7PDAIi6czg7vtZubGwxFi9JxACtyxuvtw3pO8nDlCDEBAeCiNGjHBE0rEgxkLh4cOHT5NburvLQwNiZTyI9EOGatasmT1A+E3o+VNPPWWWNBYvQSr4PfPd9ddfb8Q8Y8YMSycLYaNbM6aQOMdybUhcsTZImqoxaNz4y+e1L+0xV3jzIqiHRc689ot1Dn2eWgRE0qnFN+WtezcYfq9YS3gSsErPK2y2bBAM17t169bTeTewGvELJ2AFosrkxhjRB1zlkBsoFgBh8puFQaxYz8JF5kAXXrNmjX3PoiHugbjk4Z3iSRG0xXcFZeUDGzCAzGmHvsTaCD9Hr0Zm8c4Ta199nj4ERNLpwzolZ8LiQdbAK4BFJzRF9M1s2SATZB5CufFaIHkUViOv+Jkm52wZA11nahEQSacW35S3jkXFayoETaUVrK1sICfIGXkAS5SFNt4gkHnQe/E1RhaQNZjy6acTpAEBkXQaQE7VKXgtRYeGoMk/Qd4GiCm/V9pU9SWd7ULOvLpTRJdFQVzc0HFxYcOqjvr1pxNrnSvzCIikMz8GSfUAIsKKJPsZ7l3xBjUkdbKAHMQ18xBiYQtZh7wbeEMMGzbMyDkb3iACMhTqRhoREEmnEWy/TgUZQVTo0ESLUSQVyzLKr/dcG14SLKh1797dwt3xbuBNAk0eTGRB+zXD1E6QEBBJB2k04ugLZIUOPXToUJM5cJnySCqOw0O3C8SLvIEHxBtvvGFudQRlPP744+Z/jFdHlB9OoRswddh3BETSvkOa2gbxhyYCjYQ4ZC47cuRIak+YwdYhX1zTCHMnnJuKKfg+U0AV7VnknMHB0anThoBIOm1QF/5EWJWk1fSqcGzevLnARPKFP2tmWuBakXBIyk9gB94beK9wzbgY4v+rTQhkAwIi6ZCMshdNRyYzstuhQ0fRkwHrmLcFIgepM0jeDfyfybtBgiK51oVkwqqbviEgkvYNytQ1BHGhyQ4aNMg8OUjkD1lFLXSX62RxkJqDnTt3tsxv1ODD1Y5IPG1CIBsREEmHYNRZHEOHJZquf//+ZmVCaFHyZuCBQxDKmDFjrCQUrnUUWCVMGeKWvBGCiaoupgQBkXRKYPWnUUgY1zJycVSqVMkqipCfAis6KhsPGx5CLICS1L5ChQru6quvthJXXvRklB5GURk3XUf6EBBJpw/rhM+E6xmeDUQTElVHsdSovPZDvFjHXA8pOxs1amRvCpR12r17t9JlJjxbdEBUERBJB3RkITH8ock1jF/wc889ZxZnVF77vYVQktGzMEguY/ygtTgY0AmpbmUMAZF0xqDP/8S4n82cOdMSxQ8cONAqioT9tZ/+oz3jlYKEQ94NXOso1rp+/XoLyuHtQZsQEAJ/R0Ak/XcsAvEXRIYOTeFS9NkGDRqcTuAfiA4m2QmuCwJGZ8adrl69evaGQHkrcmErrDtJYHVY5BEQSQdsiJEBSJZEVQ6sTJLDs7AWZiuavnvX1aNHD8u7gc6+aNEis575LszXF7AppO5EDAGRdIAGFGsSS7Nfv36W3W38+PFWJSPM/tBYz2jry5Ytc/g841pHrT7SqrJoGOZrC9DUUVcijIBIOiCDiyVJoqRnn33WFS1a1HJV4DeMi1oYN896pkIKkYNlypSxxUEK5ULaPJC0CQEhUDACIumCMUr5HhAaXhuTJk0yV7t27dqZpRlWIuPBgi/3qlWrrO4iiZF69uxpSfmxnqU/p3xK6QQRQkAkHYDBhNAIhUaHJj90mAvJci3k3aCyNa51ZK3DkiZYJezaegCmirqQhQiIpDM86FjQJ06csFwVVapUMWsaogvbQhraMv3esmWLha6XKlXKtWjRwtwIsZ6j4t+d4emi02chAiLpDA86+iyJky666CLLVYEuHTYdmv7i+zx9+nTTnS+99FK7pr17955e+AzbQyfD00KnFwKnERBJn4YivX9AbCQOmjx5svkLk/Vt3759oVpQ4xpwnyOMm0oxREaS6xptnbeD77//PnQPnPTOAp1NCBSMgEi6YIx83wOrEmlgw4YNrmHDhq569eq2qAZph2VDviD5PmlEqRBTrlw5R81BahAib2gTAkLAHwRE0v7gmFArENwf//hHI2gWCvEhDpPVyUOG/NYjR460nM/IG7jWYT2TsF++zwlNB+0sBPJFQCSdLzz+fwnBHT9+3PygIbfRo0eb33AYiI0+YiWvW7fOXOoIW2/btq1Z0/h08/CR9uz/nFGL2Y2ASDqN44+G+91337kXX3zR/KEJkd6/f3/giQ3ixbf5q6++Mr0ZiQb9mQoxO3fuNG09jTDqVEIgqxAQSadxuFlkQ7MlqT21+4jGQ5sO+kZot5eUH9e6WrVquXfeecd9+eWXRt48fLQJASGQGgRE0qnB9UetQtBkeyNgpW7duqZDs1AYVILDekbewEUQQiatKMEpRA56aUXDGhH5o8HRB0IgwAiIpNMwOBDx0aNHLcijdOnSlp+DfNFBJWj6hYVP5CB1Bj3L//nnn3eHDx9WWHca5oxOIQQ8BETSHhIp+o1FiufGqFGjLIF/7969beEwqAQNDHhoUAC2VatWVtKKqimbN2+2gBUtDqZooqhZIRADAZF0DGD8+BiCxiIlb3KdOnUs2RA6NKQdtM1bHMTzhKT8EDP+20OGDHGHDh2KVOmuoGGv/giB/BAQSeeHTiG/Q4cmb/K1117rrrvuOrdkyRKzUgvZrO+HY9Xz4MB6vvfee21Rkz4T5n3s2DHl3fAdcTUoBOJHQCQdP1YJ74mme8stt5hkMGbMmEAGrEDQyBssDrIweOGFF1pSfghbgSkJD7kOEAK+IyCS9h1SZwuCLAyy6EbAyv33328WadB0aEj4wIED7qmnnjK3OvJusDiIvBFkz5MUDJmaFAKBRUAk7fPQeJbpwoULLZcyrmuQHtJHEDbPtY6gmrVr17pu3brZg6RTp05u8eLFpxcHg9BX9UEICAHnRNI+zwICP8hmh6sd/tCEUGOxQo5B2PB9Jq3otGnTXOXKlR1VUx555BFzEaTvQbP2g4CZ+iAEMomASNpH9CE4ciijQ5PXgpSd5LoIQl4OHhIsDuJKN2DAAAtLb9OmjZs1a5Yj70aQHiQ+DomaEgKhR0Ak7dMQQtBYqE8++aQjdHrYsGHmD+1T80k3AzljIdO3BQsWmBsgOnn//v2tZBclrYLwEEn6AnWgEIg4AiJpnwYYIpw7d64rX768w0I9efJkIFzXeHh88sknlpSf6i+U6HrllVcsWRJ9DooM49MwqBkhEDkERNI+DCkywurVq62I7A033GDJ/PkskwSIdcziIIE0yC+XXXaZ69Wrl1u+fLklRhJB+zDwakIIpAEBkXQhQSZMGh0a7wiqk8yYMcP03UwtwPFgwJOEogIvvPCCudbh/4w7IGlRIW5tQkAIhAcBkXQhxgpCpIQU3hHnnnuuVSohfWcmNyxoHhp9+/Z1RYsWdddcc4176623TheEzWTfdG4hIAQSR0AknThmdgSWMpIGkYS4st1+++1WPipT/tCQM14aU6ZMcY0aNXLVqlVzgwcPdrt27bJFQ77PpPySJMw6TAhkPQIi6SSnABF55OKoVKmSa968udu6davJHEk2l/RhkC9JnEiMhEVPzUR+IGvSo/KdyDlpeHWgEMg4AiLpJIYA0sNCbdq0qXlz4GucKUuVhwVJ+Js0aWI5QvAsoaSVtOckBlaHCIEAIiCSTnBQIGgW5e666y5XsmRJ9+qrr5q3RDqtVc7FQwHr+ZlnnrHw8xo1alhRWxYH8X1mQVObEBAC4UdAJJ3AGEKM6NAkJKpYsaK75557TIdOJyHSB6xkrOXOnTub3EJJLlwAeXhkyqJPAEbtKgSEQAIIiKQTAAuCJqUnEXs33nijubSle6EQb5L58+ebax35QViwxHpGe9YmBIRA9BAQScc5phRd3bJliyXwp1r2smXLjBjT5Q8NCVNAYODAgRY1iAY9depUS4GqvM9xDqJ2EwIhREAkHcegoQET5k19wuLFi5sl+9VXX8VxZOF28bRn8m6QGKlly5aWGOmmm25yGzdutNDudEothbsaHS0EhEAyCIikC0ANosRSffTRRy20mvJSEDafp3pDX/78888tEf/ll1/uypYta3r4iRMnLKVoOvqQ6mtU+0JACOSPgEg6f3ws1egbb7xhC4Xt27e3Sibp0H9xrcP32kt7ivW8dOlSC1iR73MBg6avhUCEEBBJ5zOYLApu27bNKmfj4sbfyAupsmBpl8RHhJZTBJacGyRGevjhh91HH31kJa0kb+QzYPpKCEQQAZF0jEGFMA8fPuy6d+/uSPE5b9488z+OsXuhP+Z8LE5CxoRzQ87k3Zg4caLJK0gf2oSAEMg+BETSeYw5hIirm1fB5PHHHzcf5FRZsZyPABQiF5s1a2YufvhgszjIoqHSiuYxSPpICGQJAiLpXAONRUvJK0pfkZejQ4cO5uaWCh2ac7EoeezYMYsWJCkSeTeo2I0Vjy7NPtqEgBDIXgRE0rnGHsmBXBhVq1Y1q3bTpk259vDnX/yr0byp2N2jRw+TVNq2bWtJmyBnyRv+4KxWhEDYERBJ5xpBovfIakcZLGoCYlX7vSGbfP3115bmFN2ZYgEjRoywPNBezUFZ0H6jrvaEQDgREEn/bdwgzi+++MLCrK+44gorKEt+Zj8jCmkLK3n37t2WoImK4kQOkpSfvBtIH9qEgBAQAjkREEk7Z7ovFuz48eMdBI1HBwSN9OHXhnxBYiQIuUWLFpZWtE+fPrY4mOl6iH5do9oRAkLAfwRE0s5ZDg50aKL60IU/+OADI2g/JAfawEo/cuSIe/DBBx3Wc7169RwBMlTxlv7s/6RWi0IgSghkNUlDoEgQJPC/7rrrzLOCxEno0H4QNORMW+vWrXNdu3Y1bxEeAitXrrRwbyx1P84TpQmpaxECQuAfEchqkkaCQNYg3SdpP6mujS5d2M2zntGZCUapWbOmZa4jSOXAgQOWk7qw59DxQkAIZAcCWU3S6NBUNsGTg0orJDMicKQwGwSNhfzxxx87NGeSIjVo0MAtXLjwdN4NPxcjC9NXHSsEhEDwEchakmYRb8WKFRZ+3bFjRyNV5InCyA8cj2XO4iDETHBKv3793IcffuhOnTqlqinBvx/UQyEQOASyjqQhYSxZdOKGDRuaDLF8+fJCVdWmPaxnag4OGzbMtGeSI40ZM8Z9+umnhbbOAzdr1CEhIATShkDWkTTWLvmYcbMrUaKEe+211yzrXGEkCFzo3n//favaQmkt0otSg5DCAMq7kba5rBMJgUgikFUkDRET6ffkk0+atUsCf9KCJqNDe9rz0aNHzb+6Tp06tkA4dOhQK3PlRQ5GctboooSAEEgbAllF0li8c+bMscW8W2+91R08eNB8mBNFG7KnLfJLozl7kYOzZ882TbowVnmifdH+QkAIRBuBrCFpiPO9995z1atXtzzN/J1shROsZCp201bJkiUdaUXJ+YFPtJ9RitGeero6ISAE4kEgK0ga4iSZPloxYd9E+6EXJ+LJwb5Yz+TdeOyxxyxLXqNGjcwPmshB8m7Igo5nymkfISAEEkEg8iQNcZI4//777zeCRjPm/3hTgXreIIRv47JHrcEyZcq4nj17ulWrViXUViIDo32FgBAQAiAQeZJGmpgyZYorVqyYu+OOOyxfBpZ1vFY03iDIGMOHD7eUokQmvvLKK5aoH+sZso+3LU05ISAEhECiCESWpCFOvDYWL17srr76ate0aVNzk4NY4yVVAl5wrbvttttc5cqVHUEvaNFKK5roNNP+QkAIJItAZEkaa5nQbBIakVR/0aJFJk0UBBQEzrHUOJw8ebKRO6HdVOzesmWLLTZKey4IRX0vBISAXwhEkqQ9Hbpv376mQ7/88stxa8cQNFGC+FBDznhwzJ0793TejXitcL8GSO0IASGQ3QhEkqTx3CCjHQt8v//97y2XM+Sb34b2TKALeTfatWtnaUvRsKlBSN4N6hGKoPNDUN8JASGQCgQiRdKQKDr0vHnzyjeK2wAACYdJREFUzAJu3Lix27x5swWsxCJY7xhSlI4ePdqiBitWrOiefvppSyuqklapmHZqUwgIgXgRiBRJYw3v27fP3XjjjY4cGhs3bnR4d+RH0FjYO3bscO3bt7eK3ZS2YrEQTRrCj3VsvABrPyEgBIRAYRCIDElD0Hhd9OrVy6xo6hUiX/B5XhvkTN6OCRMmOCxu0oo+8sgjVqWF4+Ralxdq+kwICIF0IxAJksbaRTcmcRJh2g888ID5MeelQ7OoSDg4EYgk+kfaIHJw1qxZlmqU77QJASEgBIKCQOhJGoKGjGfMmGEVVlq1amWh23lZwuxL5CD5oyFmCL1Hjx5u+/btJotgdUveCMrUVD+EgBAAgdCTNAS9detW17x5c1erVi3Tk4kQzLl5RI71/NRTT9niYJMmTdzzzz9vvtTsH2+YeM529bcQEAJCINUIhJqkIWh0aKxnKqEQ/s2CX85gE6xjrGcCUbp06eIuv/xyW1hcunSp1TQUOad6iql9ISAECoNAqEmawrFkpCtevLhFBOIfnXOhEAuafch6R/Y78j6TaIlE/RB3TjIvDIg6VggIASGQKgRCSdKQL/7Lr7/+ui38devWzXRoLGu+8xYH0ZoHDBhg+7Ru3drNnDnTCNpLjJQqUNWuEBACQsAvBEJH0p6+TAXuunXrWvIkcjyTDInvsKSRPBYsWGAVu7Ge+/fvb4uDeIDIevZr6qgdISAE0oFA6EgaDRm5gkrf+DZTsoqFP8+CPnbsmFXsJpgFnXrcuHGmWxPWLYJOx5TSOYSAEPATgVCRNER8/Phx05XJy4GnxmeffWaRgRD1O++84zp16uSqVKni+vTpY652J0+eVN4NP2eM2hICQiCtCISGpCFoFvtee+01y07XtWtXy62BhcyCIYn4a9eubd4bkPfevXtNApH3Rlrnk04mBISAzwiEhqSRKtasWWO+0JAxuaKxnvfs2WMVu0krikZNUn7CvSFniF2bEBACQiDMCISCpEl0ROIkcmzUqVPHstyR8xnvDiqusDj40EMPWcY7FgfZX5sQEAJCIAoIBJ6kDx8+7E6cOGEeGqVKlXJDhgwxwr7vvvuspBVlrQgJP3LkiKqmRGFG6hqEQAgQwIsMjzLceT3X31R1O/AkvX//fvPQuPDCC03WQJMmKT+FZVkkJCm/wrpTNT3UrhAQAnkhQKQzOecxEJFcU1kUJLAkfdNNN5m8MWbMGHO1q1GjhuvcubO51fH32LFjLYAFguapJv05r6mkz4SAEEgFAuSpnzp1qvFRvXr1LKPmwoULHcVDkFv9dPcNLEljLZcvX94VLVrUnX/++Q5L+uKLLzYNmkAVnmRKK5qK6ac2hYAQKAgBLGc4iHiN3/3ud+7cc8+1gtfkESLtMfEaXuGQwhJ2YEm6ZcuW7uc//7n76U9/6n72s58ZUffr188iB/1+UhU0IPpeCAgBIZAbATzIKNVH7qAzzjjD/eQnP3H/9E//5M455xyHdT18+HC3YcOG08F2uY+P9/+0kTRyBLIETyDE9vx+Dh48aFIHBA1Rk5ifit94ePA6gb90fsfru/zxFT7CR3Og8HPg+++/d4cOHXJ33323GZOQNAblr371K/fb3/7WVAAC6zp06OAmTpzo8EgD90RjN9JG0qyAkm+DHM4jR47M94dcG8gbXPSvf/1r16ZNG6u2MmzYMDdixIh8jy2obX2fP/bCR/hoDsQ3B+CioUOH2loZPAVfYVF7PxiZEDZyCAVGsK69HPaJuAmnjaR56rz55puufv36p13ncJ/L66dcuXL2JPrNb37jcLtDm85rP32WN37CRbhoDqRvDsBRv/zlL39E0h5Z55RCqlev7kaNGmWKQODkDixp8mhs27bNrVu3Lt8fFgZ56uDFgeZD9e6CjtH3+WMqfISP5oD/c+Ddd991gwcPdr/4xS9+RNJY1nz+r//6r2acvvDCC6ZRk+Me6TfeLW2WNJo0RI0mg6ac3w+aNBIHEYb4See3r77LH0vhI3w0B1IzBwhmgZ/gKaQNLGZ+Y1WjSZcuXdqRx57IaHypMVIZi0QIGiJPG0nH+9RgPzLddezY0TVr1szE9kSO1b5CQAgIgXQgwAIg62S4CGM183PmmWdajvuBAwe6RYsWnXYVLowbnkg6HaOpcwgBIRApBFj4o/IT3hvIGeedd567+eab3bRp09yOHTuMnPGTxpsNgi5MsJ1IOlJTRxcjBIRAOhD45ptvLCy8QYMGlq4Cq/nAgQO2IEiQXWEs59z9F0nnRkT/CwEhIAQKQIBiI3PnzjWrmXz2qUyyJJIuYDD0tRAQAkIgNwKQMvk7cC1G+iiMnJG77dz/i6RzI6L/hYAQEAIBQkAkHaDBUFeEgBAQArkREEnnRkT/CwEhIAQChEAgSRqn7y5dupgjOCn/tAkBISAEwowAPtXo2Mm44wWSpFktxd+QzHcUldUmBISAEAgzAtRenT17tgXqJeqeF0iS5olDyOXXX39tT58wD476LgSEQHYjgBU9f/58V7NmTavXGgmSZkhxaUmlW0t2TxtdvRAQAqlGAHJGCVixYoVr27atZfScPn26W7lyZTCz4KUaELUvBISAEAgSAoSEI3GQgKlIkSLu7LPPdqQqJS8RIeXxboGUO+LtvPYTAkJACAQVAWRbtOglS5ZYRrxBgwZZ8WxqI1JAO95NJB0vUtpPCAgBIZAAAmjPRCWOGTPGVapUyc2YMcORS5p0zRB4vJtIOl6ktJ8QEAJCIEEEIOTbb7/dNWrUyK1fv96RfCnRTSSdKGLaXwgIASEQJwJ4qV199dWuffv2VrQ2EQvaO4VI2kNCv4WAEBACPiKAd8fhw4ddsWLFLJ0p0kei7nd0RyTt46CoKSEgBISAhwDeHcuXL3cXXnihVXCBoJNxKxZJe4jqtxAQAkLARwSQOiZNmuQuueQSN3bsWCNorOtEiVok7eOgqCkhIASEgIcAuaap2AJJE8wyfvx4t2bNGss/7e0Tz2+RdDwoaR8hIASEQIIIUAyABHH9+vVzFSpUcPXq1TM3PCzsRDaRdCJoaV8hIASEQJoREEmnGXCdTggIASGQCAIi6UTQ0r5CQAgIgTQjIJJOM+A6nRAQAkIgEQRE0omgpX2FgBAQAmlGQCSdZsB1OiEgBIRAIgiIpBNBS/sKASEgBNKMgEg6zYDrdEJACAiBRBAQSSeClvYVAkJACKQZAZF0mgHX6YSAEBACiSAgkk4ELe0rBISAEEgzAiLpNAOu0wkBISAEEkHg/wBu+Zj4h+kOkgAAAABJRU5ErkJggg==[/img][br]
Two car services offer to pick you up and take you to your destination. Service A charges 40 cents to pick you up and 30 cents for each mile of your trip. Service B charges $1.10 to pick you up and charges c cents for each mile of your trip.
For Service B, is the additional charge per mile greater or less than 30 cents per mile of the trip?[br]Explain your reasoning.
[size=150]Kiran and Clare like to race each other home from school. They run at the same speed, but Kiran's house is slightly closer to school than Clare's house. On a graph, their distance from their homes in meters is a function of the time from when they begin the race in seconds.[/size][size=150][br][br][size=100]As you read the graphs left to right, would the lines go up or down?[/size][/size]
What is different about the lines representing Kiran's run and Clare's run?
What is the same about the lines representing Kiran's run and Clare's run?
Write an equation for each line.
[img]data:image/png;base64,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[/img]
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Information: IM 8.5.8 Practice: Linear Functions