Paige owns a car with a 12-gallon gas tank. Her car gets a highway gas mileage of 32 miles per gallon.

a. Write two ratios to represent the gas mileage of Paige’s car. Make sure to include the units for the quantities.

b. Paige wants to drive to her sister’s house, which is 162.4 highway miles away from where she lives. Use one of the ratios you wrote in part a to calculate how many gallons of gas Paige needs to make the trip.

c. Gas costs $3.50 per gallon. Write two ratios to represent the cost of a gallon of gas. Make sure to include units for the quantities.

d. Use one of your ratios from part c to calculate how much Paige’s trip costs. Round up to the nearest cent.

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-08-27T16:07:53+02:00

The ratio to represent the gas mileage of Paige’s car will be 32:1.

From the information, Paige owns a car with a 12-gallon gas tank and her car gets a highway gas mileage of 32 miles per gallon.

Therefore, the ratio to represent the mileage will be 32 miles per gallon. This will be 32:1

Since Paige wants to drive to her sister’s house, which is 162.4 highway miles away from where she lives, the gallons needed will be:

= 162.4/32

= 5.075 gallons.

Since gas costs $3.50 per gallon, the cost will be:

= $3.50 × 5.075

= $17.7625

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