Asked by Anyno.
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.
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.
Answers
Answered by
Steve
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.
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.
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