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

To analyze the graph described, we notice that it plots the relationship between the time Mr. Reynolds walks (in minutes) on the x-axis and the distance he walks (in feet) on the y-axis.

From the points given:

  • At \( x = 8 \) minutes, \( y = 2,000 \) feet.

This indicates that after walking for 8 minutes, Mr. Reynolds has covered a distance of 2,000 feet.

Now, let's evaluate the answer choices:

A. It means that Mr. Reynolds walks 8 miles in 2,000 minutes.

  • Incorrect. The graph shows minutes and feet, not miles and long durations like 2,000 minutes.

B. It means that Mr. Reynolds walks 2,000 feet in 8 minutes.

  • Correct. This directly matches the point (8, 2,000) on the graph.

C. It means that Mr. Reynolds walks 2,000 feet per minute for 8 minutes.

  • Incorrect. The graph indicates he walks 2,000 feet in 8 minutes, not at that rate.

D. It means that Mr. Reynolds walks 8 feet in 2,000 minutes.

  • Incorrect. This is a significant misinterpretation of the data presented.

Therefore, the correct answer is:

B. It means that Mr. Reynolds walks 2,000 feet in 8 minutes.