Explanation Given information: It is provided that during the real estate run-up in 2000 − 2008 the percentage of mortgages issued in the United States that were subprime could be approximated by A ( t ) = 15.0 1 + 8.6 ( 1.8 ) − t t years after the start of 2000 . Graph: Consider the provided function: A ( t ) = 15.0 1 + 8.6 ( 1.8 ) − t The steps for drawing the graph of the function by using the Ti-83 calculator are: Step 1: Press “ON” key. Step 2: Press “Y=” key. Step 3: Write 15.0 / ( 1 + 8.6 ( 1.8 ) ^ − X) . Step 4: Press “WINDOW” key and set. X min = 0 ; X max = 8 ; Xscl = 1 Y min = 0 ; Y max = 15 ; Yscl = 1 Step 5: Press “GRAPH” key. The graph is illustrated below: Thus the graph of the function is shown above. Now, the steps for drawing the graph of the first derivative of the function by using the Ti-83 calculator are: Step 1: Press “ON” key. Step 2: Press “Y=” key. Step 3: Write 15.0 / ( 1 + 8.6 ( 1.8 ) ^ − X) . Step 4: Press “LEFT SHIFT” key to move the cursor to the right of Y 1 and press enter till the circle type figure comes. Step 5: Press “ENTER” key. Step 6: Press “MATH” key followed by “ 8 ”. Step 7: Press “VARS” key followed by left shift key and press “ENTER” two times. Step 8: Write, (X, X). Step 9: Press “GRAPH” key. The graph of the function is shown below: Now, the steps for drawing the graph of the first derivative of the function by using the Ti-83 calculator are: Step 1: Press “ON” key. Step 2: Press “Y=” key. Step 3: Write 15.0 / ( 1 + 8.6 ( 1

Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th

7th Edition

ISBN: 9781337275972

Author: Waner, Stefan; Costenoble, Steven

Publisher: Cengage Learning

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Chapter 12.3, Problem 71E

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To graph: The function A(t)=15.01+8.6(1.8)−t percent (0≤t≤8) and it’s first derivative and second derivative and the value of t for which the graph of A is concave up and concave down and t− coordinate of any point of inflection and what does point of inflection tell you about subprime mortgages.

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Chapter 12.3, Problem 70E

Chapter 12.3, Problem 72E

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Chapter 12 Solutions

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Solution Summary: The author illustrates the graph of the function by using the Ti-83 calculator.

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