Question

11 samuel is comparing the average epa ratings on 4 types of vehicles. he wants to drive a pickup truck, but he can see from the table below that he would use less gasoline if he drove a compact car. if samuel drives an average of 13,000 miles per year, how many more gallons of gas would he need to buy for a pickup truck compared to a compact car?
4 - door sedan: epa rating: 26 mpg (combined city and highway)
compact car: epa rating: 32 mpg (combined city and highway)
pickup truck: epa rating: 20 mpg (combined city and highway)
small suv: epa rating: 22 mpg (combined city and highway)
options: 261.75 gallons, 221.25 gallons, 250.25 gallons, 243.75 gallons

Explanation:

Step1: Calculate gas for Pickup Truck

To find the gallons of gas needed for the pickup truck, we use the formula \( \text{Gallons} = \frac{\text{Miles}}{\text{MPG}} \). For the pickup truck, miles are 13,000 and MPG is 20. So, \( \frac{13000}{20} = 650 \) gallons.

Step2: Calculate gas for Compact Car

For the compact car, miles are 13,000 and MPG is 32. Using the same formula, \( \frac{13000}{32} = 406.25 \) gallons.

Step3: Find the difference

Subtract the gallons for the compact car from the gallons for the pickup truck: \( 650 - 406.25 = 243.75 \) gallons.

Answer:

243.75 gallons (the option with 243.75 gallons)