The fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. The equation for the line of best fit for the data is y = 28x. How can the y-intercept and slope of this line be interpreted?
Answer
A
The y-intercept is 28, which represents the miles that can be traveled with 1 gallon of gas. The slope is 0, which represents the amount of gas used when 0 miles are traveled.
B
The y-intercept is 28, which represents the amount of gas used when 0 miles are traveled. The slope is 0, which represents the miles that can be traveled with 1 gallon of gas.
C
The y-intercept is 0, which represents the number of miles that can be traveled with 1 gallon of gas. The slope is 28, which represents the amount of gas used when 0 miles are traveled.
D
The y-intercept is 0, which represents the amount of gas used when 0 miles are traveled. The slope is 28, which represents the miles that can be traveled with 1 gallon of gas.
Explanation
In the equation y = 28x, the y-intercept is 0 because there is no constant term. It means 0 miles are traveled when 0 gallons of gas are used. The slope is 28, so the distance increases by 28 miles for each gallon of gas; therefore, the car travels 28 miles with 1 gallon.
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