In 1980 the average price of a home in brainerd county was $97000. by 1986 the average price of a home was $109000.

Question

write a linear model for the price of a home, P, in brainerd county as a function of the year, t. let t=0 correspond to 1980.

Answer 1

(0, 97000) and (6, 109000) are two points on the line

Slope = (109000 - 97000) / (6 - 0) = 2000

Equation of line: y - 97000 = 2000(x - 0)

Simplify to get y = 2000x + 97000