Question

The graph shows the distance cars A and B travel.

Answer 1

That will be A bc B is much longer than A

Answer 2

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).

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope of Car A}=\frac{5-0}{8-0}$

$\text{Slope of Car A}=\frac{5}{8}$

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

$\text{Slope of Car B}=\frac{8-0}{5-0}$

$\text{Slope of Car B}=\frac{8}{5}$

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