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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need help being walked through the logistic growth problem that is in the image attached please :)
Transcribed Image Text: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.
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