2) a $100,000 house appreciates at a rate of $3500 a year.
a. find the equation that models the value of the house in y dollars after x years.
b. find the value of the house in 12 years.
c. how many years from now will the value of the house be $124,500?

Part a)

Part b)

Part c)

Step-by-step explanation:

Part a) Find the equation that models the value of the house in y dollars after x years

we know that

The linear equation in slope intercept form is equal to

where

m is the rate or slope

b is the y-coordinate of the y-intercept (initial value)

Let

x -----> the number of years

y ----> the value of the house in dollars

In this problem we have

substitute

Part b) Find the value of the house in 12 years.

so

For x=12 years

substitute in the equation and solve for y

Part c) How many years from now will the value of the house be $124,500?

For y=$124,500

substitute in the equation and solve for x

subtract 100,000 both sides

Divide by 3,500 both sides