Question

the graph represents the rate of two machines that fill water barrels. one machine has already filled 30 water barrels before the faster machine starts. according to the graph, about how many minutes will pass before the two machines have filled about the same number of barrels?
a 5 minutes
b 30 minutes
c 4.5 minutes
d 50 minutes

Explanation:

Step1: Analyze the graph meaning

The two lines in the graph represent the number of barrels filled by two machines over time. One machine (the one with the non - zero y - intercept) has already filled 30 barrels before the faster machine (the one starting from the origin) starts. We need to find the time when the number of barrels filled by both machines is approximately equal, which is the x - coordinate of the intersection point of the two lines.

Step2: Identify the intersection point

Looking at the graph, we can see that the two lines intersect at a point. By observing the x - axis (which represents time in minutes) at the intersection point, we can see that the x - value (time) is approximately 5 minutes.

Answer:

A. 5 minutes