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Suppose you drive 22,000 miles a year and gas averages $\$ 3.45$ a gallon. What would you save by driving a hybrid that averages $38 \mathrm{mpg}$ versus a SUV that averages $21 \mathrm{mpg}$ ?
Compute the savings in fuel expenses.
$\$ \square$ (Simplify your answer. Round to the nearest dollar as needed.)

Step 1 ：First, we need to calculate how many gallons of gas we would use in a year for each vehicle. We do this by dividing the total miles driven in a year by the miles per gallon (mpg) of each vehicle. For the hybrid, we have \(\frac{22000}{38} \approx 578.95\) gallons, and for the SUV, we have \(\frac{22000}{21} \approx 1047.62\) gallons.

Step 2 ：Next, we multiply the number of gallons by the cost of gas to find out how much we would spend on gas for each vehicle in a year. For the hybrid, we have \(578.95 \times 3.45 \approx \$1997.37\), and for the SUV, we have \(1047.62 \times 3.45 \approx \$3614.29\).

Step 3 ：The difference between these two amounts is the amount we would save by driving the hybrid. So, we subtract the cost of the hybrid from the cost of the SUV: \(3614.29 - 1997.37 \approx \$1616.92\).

Step 4 ：Rounding to the nearest dollar, we get \$1617.

Step 5 ：Final Answer: The savings in fuel expenses by driving a hybrid that averages 38 mpg versus a SUV that averages 21 mpg is \(\boxed{1617}\).