Question

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 A is greater because the slope is greater than the slope for car B.
B. The unit rate for car B is greater because the slope is less than the slope for car A.
C. The unit rate for car A is greater because the slope is less than the slope for car B.
D. The unit rate for car B is greater because the slope is greater than the slope for car A.

Answer 1

(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).

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

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

Explanation: