Question

in 1980 the average price of a home in brainerd county was $97,000. by 1986 the average price of a home was $109,000. 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

given two points
(t, P) = (0, 97k) and (6, 109k)
slope = (97 - 109) / (0 - 6) = 2
so
P - 97 = 2(t - 0) < point-slope form
P = 2t + 97 < in thousands

P = 2,000t + 97,000
Hope this helps!