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 situation?

A1/7
B7 mpg
C35 mpg
D175 mpg

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 situation? A. 1/7 B. 7 m class=

Verified Answer :

we know that

A unit rate is a ratio between two different units with a denominator of one

so

in this problem, the unit rate is equal to the slope of the line

Let

\(A (1,7)\\B( 5,35)\)

the slope is equal to

\(m=\frac{(y2-y1)}{(x2-x1)}\)

Substitute the values

\(m=\frac{(35-7)}{(5-1)}\)

\(m=\frac{(28)}{(4)}\)

\(m=7 \frac{miles}{galons}\)

the unit rate means that the truck can travel \(7\) miles per one gallon of gasoline used

therefore

the answer is

The unit rate is equal to the option

B. 7 mpg


The unit rate for the situation that shows the relationship between the distance a truck can travel and the amount of gasoline used is 7 miles per gallon

The graph given is a straight line.

The unit rate in the situation will be gotten by finding the slope of the line graph.

The slope of the line is expressed using the formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\\\)

Using the coordinate points (1, 7) and (5, 35) on the line

\(m=\frac{35-7}{5-1}\\m=\frac{28}{4}\\m=7mi/gallon\)

This shows that the unit rate for the situation is 7 miles per gallon

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