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The graph shows the distance cars A and B travel.
Which statement is true about the unit rates shown in the graph?
(a) The unit rate for car B is greater because the slope is greater than the slope for car A
(b) The unit rate for car A is greater because the slope is less than the slope for car B
(c) The unit rate for car A is greater because the slope is greater than the slope for car B
(d) The unit rate for car B is greater because the slope is less than the slope for car A
PLEASE HELP

The graph shows the distance cars A and B travel Which statement is true about the unit rates shown in the graph a The unit rate for car B is greater because th class=

Respuesta :

stasia78
That will be A bc B is much longer than A

Answer:

(a) The unit rate for car B is greater because the slope is greater than the slope for car A.

Step-by-step explanation:

We have been given a graph that represents the distance cars A and B travel. We are asked to choose the correct option about our given graphs.

Since slope represents the change in y-value with respect to change in per unit x value, so slope is also unit rate of the graph.

Let us find the slope of car A using points (8,5) and (0,0).

[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\text{Slope of Car A}=\frac{5-0}{8-0}[/tex]

[tex]\text{Slope of Car A}=\frac{5}{8}[/tex]

Let us find the slope of car B using points (5,8) and (0,0).

[tex]\text{Slope of Car B}=\frac{8-0}{5-0}[/tex]

[tex]\text{Slope of Car B}=\frac{8}{5}[/tex]

We can see that slope of car B is greater than slope of car A, therefore, option A is the correct choice.



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