The graph represents distance traveled varying directly with time.

A graph shows Time (hours) on the x-axis with labels from 0 to 5, and Distance (miles) on the y-axis with labels from 0 to 200. A line on the graph starts at 0 hours, 0 miles and increases steadily through 5 hours, 200 miles.

What would be the distance traveled after 12 hours?

A. 600 miles

B. 40 miles

C. 540 miles

D. 480 miles

1 answer

C. 540 miles.

Since distance is varying directly with time, we can use the formula: distance = rate x time.

From the graph, we can see that in 5 hours, the distance traveled is 200 miles. So the rate is:

rate = distance ÷ time = 200 miles ÷ 5 hours

rate = 40 miles/hour

Now we can use this rate to find the distance traveled after 12 hours:

distance = rate x time = 40 miles/hour x 12 hours

distance = 480 miles

Therefore, the distance traveled after 12 hours is 480 miles.