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Two friends, Grayson and Santiago, had just bought their first cars. The equation y=31.9xy=31.9x represents the number of miles, yy, that Santiago can drive his car for every xx gallons of gas. Grayson uses 8 gallons of gas to drive 328.8 miles in his car.

How many miles less does Santiago's car travel on one gallon of gas than Grayson's car?

User Jgong
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2 Answers

19 votes
19 votes

Final answer:

Santiago's car travels 9.2 miles less per gallon of gas than Grayson's car, with Santiago's car getting 31.9 miles per gallon and Grayson's getting 41.1 miles per gallon.

Step-by-step explanation:

The student is asking how many miles less Santiago's car can travel on one gallon of gas compared to Grayson's car. Grayson's car travels 328.8 miles on 8 gallons of gas. To calculate the miles per gallon for Grayson's car, we divide the total miles driven by the gallons of gas used. So Grayson's car gets 41.1 miles per gallon (328.8 miles ÷ 8 gallons).

Santiago's car has a given rate of 31.9 miles per gallon, represented by the equation y = 31.9x, where x is the number of gallons. To find out how much less Santiago's car travels on one gallon compared to Grayson's, we subtract Santiago's miles per gallon from Grayson's: 41.1 miles/gallon - 31.9 miles/gallon = 9.2 miles/gallon. Therefore, Santiago's car travels 9.2 miles less per gallon than Grayson's car.

User Andrew Carl
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2.7k points
15 votes
15 votes

Step-by-step explanation:

Two friends, Grayson and Santiago, had just bought their first cars. The equation y=31.9xy=31.9x represents the number of miles, yy, that Santiago can drive his car for every xx gallons of gas. Grayson uses 8 gallons of gas to drive 328.8 miles in his car.

How many miles less does Santiago's car travel on one gallon of gas than Grayson's car?

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User Saagarjha
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3.1k points