Answer:
a . Write a function for the average miles driven for a light truck, n( t ), as a function of t , the time in years since 1988:
n(t)=10,200*1.078^t
Step-by-step explanation:
a . Write a function for the average miles driven for a light truck, n( t ), as a function of t , the time in years since 1988 . He assumes that the average number of miles driven in 1988 was 10,200
Average miles driven for a light truck: n(t)
Time in years since 1988: t
Average number of miles driven in 1988 was 10,200: N=10,200
The annual mileage for light trucks increased by 7.8% per year from 1988 to 2004:
r=7.8%=7.8/100→r=0.078
n(t)=N*(1+r)^t
Replacing the known values:
n(t)=10,200*(1+0.078)^t
n(t)=10,200*1.078^t
