Question

the graph shows the motion of boxes on a moving belt. choose quantities to complete the statements. in 1 minute, the boxes move 75 feet. in , the boxes move 75 feet. 25 feet 50 feet

Explanation:

Step1: Find two - point coordinates

From the graph, we have two points \((1,25)\) and \((3,75)\). The \(x\) - axis represents time in minutes and the \(y\) - axis represents distance in feet.

Step2: Calculate the rate

The rate of change (speed) is given by the formula \(v=\frac{\Delta d}{\Delta t}\), where \(\Delta d\) is the change in distance and \(\Delta t\) is the change in time. For a linear relationship, we can use any two points. Using the points \((1,25)\) and \((3,75)\), \(\Delta d = 75 - 25=50\) feet and \(\Delta t=3 - 1 = 2\) minutes. The rate \(v=\frac{75 - 25}{3 - 1}=\frac{50}{2}=25\) feet per minute.

Step3: Find distance in 1 minute

Since the rate is 25 feet per minute, in 1 minute, the boxes move 25 feet.

Answer:

25 feet