Question

dean is helping with a program to increase recycling at his school. at the beginning of the school year, very few recyclables were being collected. however, recycling increased quickly as students learned more about the program. which graph could show the total amount of recycling collected at deans school over the course of the year?

Explanation:

Step1: Analyze the problem statement

At the start of the school - year, recycling was low and then increased quickly as students learned about the program. The total amount of recycling collected should be a non - decreasing function of time.

Step2: Evaluate each graph

The first graph starts low, increases, and then levels off. The second graph starts low and has a continuous increase. The third and fourth graphs have decreases in the amount of recycling collected which do not match the description of the problem. Since the problem only mentions an increase in recycling as students learn about the program and no leveling off is mentioned, the second graph which shows a continuous increase is the most appropriate.

Answer:

The second graph (the one with a continuous upward - sloping curve starting from a low value on the y - axis as time progresses on the x - axis)