Question

1. automotive trades the circumference of each tire on a motor vehicle is approximately 81.7 in. if the tires make 10,500 revolutions, how many miles will the vehicle travel?

Explanation:

Step1: Calculate total inches traveled

The circumference of a tire is \(C = 81.7\) in. The number of revolutions \(n=10500\). The total distance \(d\) in inches is \(d = C\times n\).

$$d=81.7\times10500 = 857850$$

in.

Step2: Convert inches to miles

We know that \(1\) mile \(= 5280\) feet and \(1\) foot \(= 12\) inches. So \(1\) mile \(=5280\times12=63360\) inches.
Let \(x\) be the distance in miles. Then \(x=\frac{d}{63360}\). Substitute \(d = 857850\) into the formula:

$$x=\frac{857850}{63360}\approx13.54$$

Answer:

The vehicle will travel approximately \(13.54\) miles.