calc problem...

Question

The capacity of solar power installed in the United States has grown since 2000. The capacity of solar power installed in the United States can be modeled as

m(x) = 15.45(1.46^x) megawatts

between 2000 and 2008, where x is the number of years since 2000.† (Round your answers to three decimal places.)

(a) How much solar power capacity was installed in 2000?

megawatts

How much solar power capacity was installed in 2001?

megawatts

How much solar power capacity was installed in 2002?

megawatts

(b) Use the information in part a to make a table showing the year as a function of the capacity of solar power installed.

m(0)	=	megawatts
m(1)	=	megawatts
m(2)	=	megawatts

(c) Find the function for the log model that gives the number of years since 2000 in which the capacity of U.S. installed solar power is m megawatts, with data from 0 ≤ x ≤ 8.

x(m) = megawatts

Answer 1

m = 15.45 * (1.46^x)

m/15.45 = 1.46^x

Log(m/15.45) = x* Log(1.46)

x =(Log m - Log 15.45)/ Log(1.46)