Question

a conveyor belt moves at a constant rate of 12 feet in 3 seconds. a second conveyor belt moves at a constant rate of 16 feet in 4 seconds. the proportional relationships select choice equivalent because select choice

Explanation:

Step1: Calculate speed of first conveyor - belt

Speed = $\frac{Distance}{Time}$. For the first conveyor - belt, distance $d_1 = 12$ feet and time $t_1 = 3$ seconds. So the speed $v_1=\frac{12}{3}=4$ feet per second.

Step2: Calculate speed of second conveyor - belt

For the second conveyor - belt, distance $d_2 = 16$ feet and time $t_2 = 4$ seconds. So the speed $v_2=\frac{16}{4}=4$ feet per second.

Step3: Determine proportionality

Since the speeds of both conveyor - belts are equal, the proportional relationships are equivalent.

Answer:

The proportional relationships are equivalent because the unit rates (speeds) of both conveyor - belts are the same (4 feet per second).