Problema Solution

A new house was sold for $1183000 six years after

it was built and purchased. The original owners calculated that the

house appreciated $53000 per year while they owned it. Find a linear function that describes the appreciation of the building, in thousands of dollars, if x is the number of years since the original purchase.

Answer provided by our tutors

Pt = P0 + 53,000x


For x = 6 we have


1,183,000 = P0 + 53,000*6


P0 = 1,183,000 - 53,000*6


Po = 865,000


The linear function that describes the appreciation of the building is Pt = 865,000 + 53,000x.