A house purchased for $250,000 is expected to be worth twice it's purchase price in 18 years. What is the linear function that models the price P of the house versus the number of years t since the house was purchased? I got P=t(1388.8)+250,000 but not sure
It looks OK, except for the amount inside the bracket. It should read $13,888.88, so that:
P =t(13,888.88) + $250,000, where t = 18 years. However, in cases such as this, exponential growth is more realistic and it would look like this:
$500,000 = $250,000 x [1 + i]^18. The task here would be to find i, which is very easy and it comes to=3.926%.