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Mr. Reynolds goes for a morning walk. The graph below shows the relationship between how many minutes he has walked, x, and the distance in feet he has walked, y.

The graph has numbers from 0 to 20 in increments of 4 on the x-axis and from 0 to 5,000 in increments of 500 on the y-axis. A straight line starts from (0, 0) and passes through (4, 1,000), (8, 2,000), (12, 3,000), (16, 4,000), and (20, 5,000).

What is the meaning of the point on the graph?
A.
It means that Mr. Reynolds walks 8 miles in 2,000 minutes.
B.
It means that Mr. Reynolds walks 2,000 feet in 8 minutes.
C.
It means that Mr. Reynolds walks 2,000 feet per minute for 8 minutes.
D.
It means that Mr. Reynolds walks 8 feet in 2,000 minutes.

1 answer

The correct answer is B. It means that Mr. Reynolds walks 2,000 feet in 8 minutes. This can be determined by using the slope formula which is:

slope = (change in y) / (change in x)

In this graph, the slope is constant and equal to:

slope = (5,000 - 0) / (20 - 0) = 250 feet per minute

Therefore, for every minute Mr. Reynolds walks, he covers 250 feet.

To find how many feet he covers in 8 minutes, we multiply the slope by 8:

8 minutes * 250 feet per minute = 2,000 feet

So the point (8, 2,000) on the graph represents Mr. Reynolds walking 2,000 feet in 8 minutes.