Chapter 13, Problem 1AL

To determine

The annual cost of driving.

Answer to Problem 1AL

The annual cost of driving is $\$2,400\text{/year}$.

Explanation of Solution

Most Americans drive at least $\text{1,000 miles/month}$ in a vehicle that spends one gallon of gasoline per 20 miles of distance. The cost of gasoline is $\$4.00$ per gallon.

The annual cost of driving can be calculated by following equation:

$=\frac{\text{12 months}}{\text{year}}\times \frac{1,000\text{ mi}}{\text{month}}\times \frac{1\text{ gal}}{20\text{ mi}}\times \frac{\$4.00}{\text{gal}}$

The following equation can be simplified by multiplying the numbers on the top and then dividing the resultant by number on the bottom of the fraction.

$\begin{array}{l}=\frac{\text{12 }}{\text{year}}\times \frac{1,000}{1}\times \frac{1}{20}\times \frac{\$4.00}{1}\\ =\frac{\$48,000}{20\text{ year}}\\ =\$2,400\text{/year}\end{array}$

Conclusion:

Therefore, the annual cost of driving is $\$2,400\text{/year}$.