Question

2.

A house that costs $200,000 will appreciate in value by 3% each year.
Write a function that models the cost of the house over time. Use x for years and y for
the value of the house, in dollars.
Find the value of the house at the end of ten years.

Answer 1

Answer: The function that models the cost of the house over time can be written as y = 200,000 * (1 + 0.03)^x, where x is the number of years and y is the value of the house.

To find the value of the house at the end of ten years, we need to plug in x = 10 into the function:

y = 200,000 * (1 + 0.03)^10 = 200,000 * 1.33489 = 266,978.8

So the value of the house at the end of ten years is $266,978.8.

Explanation: