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
[tex] A (1,7)\\B( 5,35) [/tex]
the slope is equal to
[tex] m=\frac{(y2-y1)}{(x2-x1)} [/tex]
Substitute the values
[tex] m=\frac{(35-7)}{(5-1)} [/tex]
[tex] m=\frac{(28)}{(4)} [/tex]
[tex] m=7 \frac{miles}{galons} [/tex]
the unit rate means that the truck can travel [tex] 7 [/tex] 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:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
Using the coordinate points (1, 7) and (5, 35) on the line
[tex]m=\frac{35-7}{5-1}\\m=\frac{28}{4}\\m=7mi/gallon[/tex]
This shows that the unit rate for the situation is 7 miles per gallon
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