A.4.5 Practice Problems

Problem 1
The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.[br][br]Rule C gives the monthly cost, in dollars, of using g gigabytes of data on Company C’s plan.[br]Rule D gives the monthly cost, in dollars, of using g gigabytes of data on Company D’s plan.
a. Write a sentence describing the meaning of the statement C(2)=40.
b. Which is less, C(4) or D(4)? What does this mean for the two phone plans?
c. Which is less, C(5) or D(5)? Explain how you know.
d. For what number g is C(g)=130?
e. Draw the graph of each function.
Problem 2
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[/img][br]Function g is represented by the graph.
For what input value or values is g(x=4)?
Problem 3
Function P gives the perimeter of an equilateral triangle of side length s. It is represented by the equation P(s)=3s.
a. What does P(s)=60 mean in this situation?
b. Find a value of s to make the equation P(s)=60 true.
Problem 4
Function G takes a student’s first name for its input and gives the number of letters in the first name for its output.
a. Describe the meaning of G(Jada)=4.
b. Find the value of G(Diego).
Problem 5
W gives the weight of a puppy, in pounds, as a function of its age, t, in months.[br]Describe the meaning of each statement in function notation.
a. W(2)=5
b. W(6)>W(4)
c. W(12)=W(15)
Problem 6
Diego is building a fence for a rectangular garden. It needs to be at least 10 feet wide and at least 8 feet long. The fencing he uses costs $3 per foot. His budget is $120.[br]He wrote some inequalities to represent the constraints in this situation:[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAt8AAAAnCAYAAADXVCSZAAASsklEQVR4Ae2did8V0x/H/S8/SwsSKlSWbFkqVKikIkmUULQgqYQKJSKiVBIqtPhJkdJCWVKkREQJZSlL2c7v9T6/13nMM8+ZeWbuzH3c7v18X6/7uvfOcuacz5yZ8znf7RxiJEJACAgBISAEhIAQEAJCQAjUCQKH1MlVdBEhIASEgBAQAkJACAgBISAEjMi3OoEQEAJCQAgIASEgBISAEKgjBES+6whoXUYICAEhIASEgBAQAkJACIh8qw8IASEgBISAEBACQkAICIE6QkDku46A1mWEgBAQAkJACAgBISAEhIDIt/qAEBACQkAICAEhIASEgBCoIwREvusIaF1GCAgBISAEhIAQEAJCQAiIfKsPCAEhIASEgBAQAkJACAiBOkIgd/J94MAB8/DEh8xNN9xohgwabL7//vs6aso/l/njjz/MzBkzTPsLLjTNTzjRtD2/jXl88mPmwP79/xxUwr/eWPaG6dnjCtPipObm9NNamVEjRppdX39dwjVW1YRAPAKrV6023bpeHnvQZ599Zq7rc625c/hw07tXL/PElCmGZ1kiBCoVgbffessMHTLEDL5lkLn2mj7mhuv7m02bNlUqHGp3RgTWrVtn+vTubVqceJI5s9XpZvRdd5lffvkldakL5s83N/a/wVzft6/Z9NFHqc/P84SPPvzQjhc7duzwFvv333+buXPmmEs7Xmz54LmtW5sHJ0wwP//8s/f4rVu32mfNjUNTn3yyKONQruT7p59+Mhe0bWtGjxplfvjhB3P4fw61RNzbwiJt/OuvvyzxP6FJU9PziivNhe3a2XpQl149rzLsL2WZPesZc3TDI023y7qarl26mIb16tv6tzrlVLNr165SrrrqdhAj8P577xWl9mvfftu+7Hn+6h12eOQ1Xl60yBzVoKFZsXy5PebXX381V3Tvbjpf2sn8+eefkedphxAoBQTefeddwyCfp8ybO8+0bN6iGrmBRDQ68qhq2/K8psoqXwSWvLrEwCMemzzZTJ/2lOUXvJd7dOueuNH0cSaCvJcd3+t+ebfE59d2IMpalDBJ5OOPP7YKXtrAZ/sXX3hPQ3l5fONjzZU9epiO7TtU8UHI+P6QQnbhgoWWf61atcqWxThE+y7r3Dn3cShX8n3r0KFWy4y2is+8OXPNjz/+6AWkWBtfXfyq1RoHQeXF2LjRMRb05W/8f3Av1vUplxvGLCyt1m7P7t2m9ZlnmS+//LKqet99951pc+55tu733n1P1Xb9EAJ5IgAxvrzLZWbN6jW5kQiewU8//dRanI47pnEk+d67d685sWkzO1kOtunDjRttv0fzIBECpYxAk2OPM5d07GiwWuZBwhk7Tmp2grlr5KgazUZzN/Cmm2ps1wYhEIXAvr17rVIy6ImAUsOR0S8+/zzq1Grb57/0kjmyfoMqS/yy1183n2zZUu2YQv7Ac+4ZfbedWM56+ulERUC+edbwbIgi33C/izt0MLTfyebNm+14wzlMcJ0wmWjWpKnVorttfH/wwQe2/KemTgtuzvw7N/K9c8dOO7g++cQTmSuVpQDMcj4zyth7x1gAMbMUW/778sv2WmldRR595BGDWSgsb65YYctr16ZteJf+C4FcENiwYYN96fBC6nTxJVYDnQeJcJU7pUXLSPKNCZDrvvjCC+7wqu9zzm5tGh/dyPz+++9V2/RDCJQaAgzomODpxxe1u8CgBMry/OzZs8eWdfutt9VoKoQpT21jjQtoQ9khsP79972Wc8eLtn7ySa1tpj+ffcaZ5pqrr6712KQHwJFG3jnCWj1PbXmywfKP63IawZ2R586n+R46eLCB2IcFl0bOCU5ix9//gN2GS01QaPdZp59hjm10TGqFarCc8O/cyPfdo0fbiqPp+jcFzZ1PFr+y2NZv3Nixvt25biuUfEfVnVkbHYWXrkQIFBOBjRs22pcr/a39hReZpUuWZCIRrq5x5LtLp862f+O7FxZ8wKkLGgyJECh1BLZs3mL69+tn+ywWy0ULFxXk6ggBQZuOlhELkJOvd+40xxx1tHUdcNv0LQQKRQBlJe4YSSaKr7/2mu3Xz8yaVejlqs776quvDBNL3Got6X5mdmrS7QqLI99RnOqdde/YtkDOnaB0YqxBox4W/OTZxyQmL8lMvp+dPdua26gYH0zXM6ZPz6t+uZXz0osv2vrRgZzg//3WmjVmwvjxNhgME4qTffv22VkRpsSkJhl3bqHk250f/mbmBrb40gcFLTnacmZvw4cNC+6yvlBsP1iCTKtVXn8SI8Bg/Pxzz5mBAwZYX7yghnjB/AV2wkYfSStBEt7mvPMNPtlZ4iWiyDfmdWIc6N88c2HB1Yp9kx56OLxL/4VALgjs3r3batzQwOH/+vm2f0zwuJEwBrz3brrJH6b4/v2ut3239VlnmxfmzUutNcNtk74POYEQ/PbbbzYOgmQGioPI5dZXdCEQSWL0ogIVHTi4XeDz7N7TxNHhYlyI8GzhM17/8CPMaSefYmZnIN3u+nHk2x0T/l755pv22WLsRJjsMtHlefN5TuAxwb5CxtLwtd3/zOQbf01m+1QMcwREEZ/nJII7BaQhzWf9+vVJiq5xDLOsDhe1rzbDg0ygVcBEiE84ZoVvvvnG3ghuKBoMOl3aQMe8yTfEhyAbBomg4FPLDJKMLuCPqRJhFgthYlvaQSNYvn6XPgLEB+Ay0qf3NfZ+k2kIYbCn79KPp02dWnBDeD7crB8XECaxaWMZuHgU+cbsSD9tWL+Bt45THnvc7ueFLRECxUCACStKChQY9MWJDz5YdRnIAdsgvIUIJBztImWc0aqVee7ZZxNr+HiP3zb0VnsuZKXVqafZ5y+JlrKQuuqcykCA/g7pbHrc8dZf2gUXRrWeSR+8DpcTEll8++23Ntgy6njfdtxaeIaOOPQwG/SJ0jaoKPKdk3RbIeQbFxOyvbixjAkIzygTDJ9MfvRRu5/MQ3lJZvJNRRzZfHrmzFT1wrcGP+Y0H2YsaQV/dMwbK1eujDzVuaXgf4omnIlBoeLwSOvz7bseE4TzzznX3DdunG+33ea0g2hpnKBFJIiNrDOS8keAmTvBurxQt2/fbieOeQ7SmOkImuQFRcBXeCJYG8JR5Ju6UiaTS58wcWA/BEYiBIqJAFYk+tpVV/asdhlSjpGqNoswiYW4UD7pYxmTkgjPMFl/OI8PwWVJ/HOTlK1jKg8BJpn3j7vP9Luur3Vrok81OKKe4f0eJySD4FisOWnF+VJzPgHEeZFuV4+05JvAShStQd9uNPLUDyWsT5yP+IAb8wt0zoV8O41B0hQxvsYVc9sdtw+rps3wXQszHrkviTD3Bbn4zmEbL2VmRcEPN4gbiX95cDu/0RymEYg8wTVxQQhznn/eXi84+cH3nkFDUjkI0Bfpd+e1PsdaRPJoOblQ6bdEgWOWGzH8TgNJSStR5BurEnUmzaBP3EsP65hECBQTAYguk0Aml0EhkJIBuxBBa0i2HqyTKICG3XZ7tWxWcWVCUsilzPiFiyGaOp4VnsU8FDtx19a+8kcAIu6sMpDxOMH6Tt8jIDKtoF3GEov7FWX0vfY6r1912nLd8WnJN8rV4XfcUc0Lwmm+iafwiRtbB918i293QdtyId+Yo1kQJk9NW0Gt8ZyE3yuTgyR1c349LGyQVLhZmMyDH0yEdDJetsHt/CZ/d1KBQKP1CKbJ8Z3LAiZcb+yYMVW78fdGqyipHAScCwcL1GQVSDf+bc2Ob2IDvMbcc683ajzpdaLIN5Ne50voi0/gRUnfRnsiEQLFRsBl13Hjxdq1aw0ZIdIKpJvMXyhzmFii8Uvrvkjf57lxzwXPJK6dPA+4lEmEQFYE4BYnt2hhrTJxZTEBpN+ljX8LlokVH2WiSw3IolF5LNCThnzj0cCENhwzwQQB5RJuMT5F5wP33W/bj2dEXpKZfLtgwGDKlqSVw1+VAMg0H3yykwq+TMxUkgaKEURAB0M7kUXycDvhRc2iQM6PO64+pNih3s4vEROSyEocYuW5j5Xv7GSvXv2C8+vjrvTIpEnWfQU3kwkPjM/FdSmKfHMnCGij/7KyWFicFSkYKB0+Rv+FQF4IsLIwfRFNNwM02XaiVsLzXZN4pymPT7Euf6TIRCGCyT6tuNS94cGeGCvIEnWU9jstqjrehwCWHVyi4gStNe9wNymNO7a2fZTB+5wYPPox8Uq+TFe1leP2JyXfJBGgrT5yTVmuPtu2bXNFV307C0HQtbdqZ4E/MpNvNMsAiOtDWiFpOeem+WD+SCKs2AdgPv+i4CI2riz8wQlWw28WbZ/vPHdsbd9ZyTeJ8CHevperr+50JjAkVQ4vf3wW0bxIKgcBiAKaBOemQUBLGrGk++FJ1g8QszZa79osLmnKjyPfLtcsK7CFhXSHWJIKITDhsvRfCNSGAC6HvEvRyGFqXvzKK7WdYveTIYHgYEgMKQIJ2syywByZKKiHb90MJsTsy0JYEjVKB1UEAowbfKKEAEv62y0Db446pKDtkHB4F1Ycyiewn9iItJKEfBMnAcn3JQNxnMrFzr22dGmNKpDhBd/44CJFNQ5KuSEz+XbR2GTdSCvM4jFjpPkk0UKgAaQz+QgokwWW6A0K9cCcB4l9aOJE2xEIwERIRZhWspBvCA9uAz7zDgNClAkUf3UIDr5Mec7O0rZdx/87CECWeWmgscPdiYkYLzdcj2pLJUWNIdz0IfxTfS+orK1CWxe1vDzBm/jahq1nLhgTP3OJEKgLBLD6QARQxDCGJNX0kckE4s3S3b6UmWnrjsUTK5Yvyw9WTZ6XPCfHaeun48sDAd71BB/GrfzNqpY8E6S+LJYQ0+CsTnC0NIIrL/XzLbJDOYwjV1/Vy8DzwkK73QrKeHHgAnnzgIHVDnPBmOFUz9UOKuBPZvJN+hnykJaKYDIgywcdipdh8INGAh9tCDzEnGVH8Qcn16VLYegGfMgCgz4a9LRSKPnmQeh8aSfrIxisN7/RxuOPhH+3T2gLHTDccXzHalt5IDB92lOma5cuNudq8L4T0EJfYGJM0G8SAmFXFtu/vyjAoFnA75U6RWkOMNXjc0faUgRXMVzGmBBEnVOUyqrQikbAEQ2yBqVRKJG6zafsyQImGa4g2UENN0qZls1b2IxcWcrWuZWFAJk9yORBXJtTYGKtwTsAhWOcOHfcNM9DXHlx+0ibmyY9MtYl8oUztvgWYsN9lxSduICFORXPOFbVoCsz1i7GKpdRiHGIYH+euSyWLF+bM5Fv5+89asRIX9n/yjZWLGKhn6iPy4OMlhuiS9qnMKFFiwjYvuWukzSqUPLN4kRR9WY7pCqKSJECiCVQ3YOVpJ465uBGAAsOAV1DBg2u5ibFS5K+gAXFN9uvy1aT3Ye+ySSBDz7cUbnCCYZhIsz7BLcryHfeL7y6bLuudfAh4Fa+S+puUswW8q5nNUEUK2Sj4DnHQkvu8ahxoJj1UdkHLwKQWrf2B8pJfJ8JInRKx7iWoWAlSLLUBL/xIN/DbWXe3HnVxgxWXo/jVExGwoI23I1DuPCS27sY42gm8k1qO2YcmzdvDte/ov+zIhSayLoiDpgfeTh0Hyq622VqPDN+TOZJP0lcWQqtEPEWIheFoqfzsiDASqqFmJfJRx9OKxv33xfUFVdvngm3IEjccdonBOIQoB+FM33EHc8iUXC8LKuWE38U9yyE9wUtPXF1K/Y+nrdijkOpyTepl/ggXTp1tjOoYoOg8msiwENBSkRMnUTkl4KmpmYtteVgQQBTm02NSXrMBJ81q9PHQhwsWKielYMAafwWLVxkLYYE/GJxKSTY3ubxDqWcDaeZDf5fuqRmcHHloK6WljICuN46v2viC3DbyGJRRzEY7Pu1/cayUwmSmnzjg0kgCi8PTNvFUMdXAvBZ28iqoMxI8befOWNG1uJ0vhAQAkKg4hDAV5v3KH6jZNbBD1YiBCoZAfzACcAnvgC+V0gGkkrGL2nbU5NvTAhEjpJVI+ionvSCOi4fBJYtW2Z9wFcsX55PgSpFCAgBIVBhCOCyh4sg/q/FyPJTYXCquWWAAAGPZB4h0BBfcUlxEEhNvotTDZUqBISAEBACQkAICAEhIATKHwGR7/K/x2qhEBACQkAICAEhIASEQIkgIPJdIjdC1RACQkAICAEhIASEgBAofwREvsv/HquFQkAICAEhIASEgBAQAiWCgMh3idwIVUMICAEhIASEgBAQAkKg/BEQ+S7/e6wWCgEhIASEgBAQAkJACJQIAiLfJXIjVA0hIASEgBAQAkJACAiB8kdA5Lv877FaKASEgBAQAkJACAgBIVAiCIh8l8iNUDWEgBAQAkJACAgBISAEyh8Bke/yv8dqoRAQAkJACAgBISAEhECJICDyXSI3QtUQAkJACAgBISAEhIAQKH8E/geeuh6DQ8ecQAAAAABJRU5ErkJggg==[/img]
a. Explain what each equation or inequality represents.
b. His mom says he should also include the inequality f>0. Do you agree? Explain your reasoning.[br]
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Information: A.4.5 Practice Problems