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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 mpg
C. 35 mpg
D. 175 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 17 B 7 Mpg C class=

Sagot :

Calculistaidn

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


Abidemiokinidn

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

Learn more here: https://brainly.com/question/12922257

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