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Caleb uses 6 gallons of gas to drive 198 miles. What is the rate of change?

a. 32.67 miles per gallon
b. 33 miles per gallon
c. 34 miles per gallon
d. 36 miles per gallon

1 Answer

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Final answer:

To find the rate of change, divide the miles driven by the gallons of gas used, resulting in 33 miles per gallon as Caleb's vehicle's fuel efficiency.

Step-by-step explanation:

To determine Caleb's rate of change, which in this context is his vehicle's fuel efficiency, we need to divide the total number of miles driven by the amount of gasoline used. We are given that Caleb drives 198 miles using 6 gallons of gas. By calculating the quotient of these two values (198 miles / 6 gallons), we find the fuel efficiency of Caleb's vehicle.The calculation is:198 miles / 6 gallons = 33 miles per gallon.

Therefore, the correct answer is (b) 33 miles per gallon.To find the rate of change, we need to calculate the miles per gallon. The rate of change is determined by dividing the total miles driven by the number of gallons used. In this case, Caleb drove 198 miles and used 6 gallons of gas.Miles per gallon = Total miles driven / Number of gallons used = 198 miles / 6 gallons = 33 miles per gallonTherefore, the rate of change is 33 miles per gallon, which corresponds to option b.

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