Question

Cyrus runs on a track at a constant speed of 200 meters per minute. Later, he makes a graph of his run to show his coach. He puts time on the x-axis and distance on the y-axis. What points does he plot to show how far he runs in 8 minutes and 12 minutes?

A) (8, 1600) and (12, 2400)
B) (8, 400) and (12, 600)
C) (8, 800) and (12, 1200)
D) (8, 200) and (12, 300)

Answer 1

To determine the points representing Cyrus's running distance at 8 and 12 minutes, multiply his speed (200 m/min) by the time. The points are (8, 1600) and (12, 2400), which corresponds to answer A.

Step-by-step explanation:

The student wants to plot points on a graph to represent the distance Cyrus runs in a certain amount of time. The speed of Cyrus is given as 200 meters per minute. To find the distance Cyrus runs in 8 minutes, we multiply his speed by the time: 200 meters/minute × 8 minutes = 1600 meters. So, the first point is (8, 1600). For the distance at 12 minutes, we do a similar calculation: 200 meters/minute × 12 minutes = 2400 meters, giving us the second point as (12, 2400).

Thus, the correct points to plot on the graph to show how far he runs in 8 minutes and 12 minutes are (8, 1600) and (12, 2400). Therefore, the answer is A) (8, 1600) and (12, 2400).