Question

The students in the After-School Club ate 12 grapes per minute. After 9 minutes, there were 32 grapes remaining. The table shows the number of carrots remaining after different amounts of time. Which snack did the students eat at a faster rate? Explain.​

Answer 1

Answer:

Step-by-step explanation:

The rate of change for the grapes was -12 grapes per minute.

To calculate the rate of change for the carrots, use the slope formula . In this case, m is the rate of change, time is x, and the carrots remaining is y.

The decrease in grapes was much greater than the decrease in carrots, so therfore the students ate the grapes at a faster rate.

Answer 2

Answer:

Grapes

Step-by-step explanation:

The rate of change for the grapes was -12 grapes per minute.

To calculate the rate of change for the carrots, use the slope formula $m = \frac{y_{1}-y_{2} }{x_{1}-x_{2} }$. In this case, m is the rate of change, time is x, and the carrots remaining is y.

$m = \frac{118-136}{8-6} = \frac{-18}{2} = -9$

The decrease in grapes was much greater than the decrease in carrots, so therfore the students ate the grapes at a faster rate.