The graph shows the relationship between the distance a truck can travel and the amount of gasoline used.



What is the unit rate for the distance traveled to the amount of gasoline used?

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mpg
The graph shows distance traveled, in miles, on the y-axis and gasoline used, in gallons, on the x-axis. The line y equals seven x goes through begin ordered pair 5 comma 35 end orderd pair and begin ordered pair 1 comma 7 end ordered pair.

1 answer

To find the unit rate for the distance traveled to the amount of gasoline used, we need to determine the slope of the line.

Using the two ordered pairs given, we can calculate the slope using the formula:

slope = (change in y) / (change in x)

For the first ordered pair (5, 35) and the second ordered pair (1, 7), the change in x is (5 - 1) = 4, and the change in y is (35 - 7) = 28.

Therefore, the slope is 28/4 = 7.

The slope of 7 represents the amount of distance traveled (in miles) for every 1 unit of gasoline used (in gallons).

Therefore, the unit rate for the distance traveled to the amount of gasoline used is 7 miles per gallon (mpg).