Question

1.

The graph shows the distance, y, that a car traveled in x hours:



What is the rate of change for the relationship represented in the graph? (5 points)




A. 25
B. 50
C. 1/25
D. 1/50

Answer 1

The average rate of change is the same thing as the slope. We can take any two points on this line and plug it into the slope formula to find the slope.

Let's use (1, 25) and (2, 50).

(1, 25), (2, 50)
x1 y1 x2 y2


`\sf(y_2-y_1)/(x_2-x_1)`


`\sf(50-25)/(2-1)`


`\sf(25)/(1)`


`\sf 25`

Answer 2

The correct option is A.

Explanation:

From the given graph it is clear that the line passing through the points (1,25) and (2,50).

If a line passing through the two points, then the slope of the line is

`m=(y_2-y_1)/(x_2-x_1)`

The line passing through the points (1,25) and (2,50), so the slope of the line is

`m=(50-25)/(2-1)`

`m=(25)/(1)`

`m=25`

Therefore the correct option is A.