1. A house is bought in an up and coming Texas neighborhood. The table below shows the value of the house, V(t), after owning the house for t years. t in V(t) value of house years $150,000 4 $225,000 6. $337,500 8. $506,250 a. Determine the price of the home after 12 years. b. Use the function properties that you learned previously to make a conjecture as to the type of function that models the given data. What type of function models this pattern? C. Why can't you use the pattern to find V(15)? d. Find a particular equation for V(t) and verify that all of the V(t) values in the given table satisfy the equation. (Leave your equation exact.) e. Evaluate V(15). f. In what year will the house be worth 5 million dollars? Give both, the exact (without calculator) and approximate (with calculator) answers.

1. A house is bought in an up and coming Texas neighborhood. The table below shows the value of the house, V(t), after owning the house for t years. t in V(t) value of house years $150,000 4 $225,000 6. $337,500 8. $506,250 a. Determine the price of the home after 12 years. b. Use the function properties that you learned previously to make a conjecture as to the type of function that models the given data. What type of function models this pattern? C. Why can't you use the pattern to find V(15)? d. Find a particular equation for V(t) and verify that all of the V(t) values in the given table satisfy the equation. (Leave your equation exact.) e. Evaluate V(15). f. In what year will the house be worth 5 million dollars? Give both, the exact (without calculator) and approximate (with calculator) answers.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

ChapterA: Appendix: Review Topics

SectionA.3: Introduction To Functions

Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....

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