Question

Anne is studying the fuel efficiency of cars using a graph. She labels the y-axis as the total distance covered in miles and the x-axis as the total fuel consumed by the car in gallons. She then plots the points on a graph and draws a line connecting them. What does the slope of the line represent?

• A. It represents the mileage of the car i.e. the distance it can cover using $1$ gallon of gas.
• B. It represents the number of gallons of gas left in the tank.
• C. It represents the number of miles the car can go.
• D. It represents the amount of gas needed by the car to cover $1$ mile.

Answer 1

The correct option is A It represents the mileage of the car i.e. the distance it can cover using $1$ gallon of gas.

Slope $=\frac{\text{total distance covered}}{\text{total fuel consumed}}=\frac{y}{x}=$ mileage
Hence, it represents the mileage of the car i.e. the distance it can cover using $1$ gallon of gas.