Algebra! write an exponential 1. justin drove his pickup truck about 22,000 miles in 2004. he read that in 1998 the average residential vehicle traveled about 10,200 miles, which increased by about 2.9% per year through 2004.

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

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step-by-step explanation: