The price of a home in Medford was dollar-sign Baseline 100,000 in 1985 and rose to dollar-sign ⁢ 148 ,000 in 1997.

a. Create two models, f(t) assuming linear growth and g(t) assuming exponential growth, where t is the number of years after 1985.

Round coefficients to three decimal places when necessary.

For the model for f(t) I got 100000+4000t and for g(t) I got 100000*(1.48)^1/t.
After this I would plug in 12 to t and get my answer.
But it says I'm wrong please help.

1 answer

The linear model is ok, but the exponential growth is way off.

It grew by a factor of 1.48 in 12 years, so

g(t) = 100000 * 1.48^(t/12)

Clearly you did not try your t=12 input in g(x)

exponential functions are "never" b^(k/t)

as t grows large, that approaches just 1.