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Question 17 of 30

beginning of content:

M:C:MC:13

Tags:
SAT

Exam

PSAT/NMSQT

Exam

PSAT 10

Exam

Calculator: Permitted
Heart of Algebra

Subscore

The gas mileage for Peter’s car is 21 miles per gallon when the car travels at an average speed of 50 miles per hour. The car’s gas tank has 17 gallons of gas at the beginning of a trip. If Peter’s car travels at an average speed of 50 miles per hour, which of the following functions f models the number of gallons of gas remaining in the tank t hours after the trip begins?

No

Yes

No

No

Choice B is correct. Since Peter’s car is traveling at an average speed of 50 miles per hour and the car’s gas mileage is 21 miles per gallon, the number of gallons of gas used each hour can be found by  The car uses  gallons of gas per hour, so it uses  gallons of gas in t hours. The car’s gas tank has 17 gallons of gas at the beginning of the trip. Therefore, the function that models the number of gallons of gas remaining in the tank t hours after the trip begins is

Choice A is not the correct answer. The number of gallons of gas used each hour is determined by dividing the average speed by the car’s gas mileage.

Choice C is not the correct answer. The number of gallons of gas used each hour is misrepresented as  Also, the number of gallons used each hour must be multiplied by time t before it is subtracted from the number of gallons of gas in the tank at the beginning of the trip.

Choice D is not the correct answer. The number of gallons of gas used each hour must be multiplied by time t before it is subtracted from the number of gallons of gas in the tank at the beginning of the trip.

Question Difficulty:
medium
Objective:

Students must create a function to represent a real-world situation.