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
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.