Question

17)

Gas Mileage
162
135
108
miles
81
54
27
0
0
6
gallons
The graph shows gas mileage for a car. What is the unit rate?
A)
54
miles per gallon
B)
miles per gallon
27
09
27 miles per gallon
D)
54 miles per gallon

Answer 1

The unit rate = 27 miles per gallon.

Hence, option C is true.

Explanation:

From the given line graph:

Taking two points

• (2, 54)

• (6, 162)

The unit rate can be determined by finding the rate of change or slope between the points (2, 54) and (6, 162)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(2,\:54\right),\:\left(x_2,\:y_2\right)=\left(6,\:162\right)`

`m=(162-54)/(6-2)`

Refine

`m=27`

Therefore, the unit rate = 27 miles per gallon.

Hence, option C is true.