Question

the graph shows the motion of boxes on a moving belt. choose quantities to complete the statements. in 1 minute, the boxes move 25 feet. in 2 minutes 3 minutes, the boxes move 75 feet.

Explanation:

Step1: Find the speed

From the graph, when time $t = 1$ minute, distance $d=25$ feet. Speed $v=\frac{d}{t}$, so the speed of the boxes is $v = 25$ feet per minute.

Step2: Calculate the time for 75 - feet

We know that $v = 25$ feet per minute and $d = 75$ feet. Using the formula $t=\frac{d}{v}$, we substitute $d = 75$ and $v = 25$ into it. So $t=\frac{75}{25}=3$ minutes.

Answer:

In 1 minute, the boxes move 25 feet. In 3 minutes, the boxes move 75 feet.