Question

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?
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.
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.
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.
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.

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step explanation:

Let

x----> the amount of gas used in gallons

y ---> the distance traveled in miles

we have

$y=28x$

This linear equation represent a direct variation

The y-intercept is the value of y when the value of x is equal to zero

For x=0, y=0

That means ----> The y-intercept is 0, which represents the amount of gas used when 0 miles are traveled

The slope is $m=28\ \frac{miles}{gallon}$

That means ----> The slope is 28, which represents the miles that can be traveled with 1 gallon of gas