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Value of function at a give point

1. The number of 4-year college, public and private, in the period 1980-1996 can be modeled by f(x)=0.0003x^3 - 0.007x^2+0.058x+1.957
0 less than or equal to X less then or equal to 16
Where X is the number of years since 1980 and f(x) is the number of 4-year colleges measured in thousands. Determine the average number of 4 year colleges during this period. Round your answer to the nearest hundredth place.

2. The income (in dollars) from a fast food chain is increasing at a rate of:
f(t)=10,000e^.02t
where t is time in years. Determine the total income generated for the chain over the first three years. Round your answer to the nearest hundredth place.

3. The mean weekly earnings of a worker, 18 years old and over, for a worker with NO HIGH SCHOOL DIPLOMA can be approximated by
f(t)=-0.007t^2+0.53t+6.25 5 less than or equal to T less than or equal to 25
The mean weekly earnings of a worker, 18 years old and over, for a worker with a HIGH SCHOOL DIPLOMA can be approximated by
g(t)=0.0014t^2+0.65t+7.91 5 less than or equal to T less than or equal to 25
where t is the number of years past 1970. During the period of 1975 through 1995, how much more money did a HIGH SCHOOL graduate earn than a worker WITHOUT A HIGH SCHOOL DIPLOMA

Solution Summary

The solution evaluate the value of the given function at different points.

$2.19