the table shows the number of grapes eaten over several minutes. what is the rate of change for the function…

the table shows the number of grapes eaten over several minutes. what is the rate of change for the function on the table? grapes eaten over time time in minutes (x) grapes eaten (y) 1 15 2 30 3 45 4 60 15 grapes eaten per minute 15 minutes to eat each grape 60 grapes eaten per minute 60 minutes to eat each grape

the table shows the number of grapes eaten over several minutes. what is the rate of change for the function on the table? grapes eaten over time time in minutes (x) grapes eaten (y) 1 15 2 30 3 45 4 60 15 grapes eaten per minute 15 minutes to eat each grape 60 grapes eaten per minute 60 minutes to eat each grape

Answer

Answer:

A. 15 grapes eaten per minute

Explanation:

Step1: Recall rate - of - change formula

The rate of change of a function for a set of data points $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Select two points

Let's take $(x_1,y_1)=(1,15)$ and $(x_2,y_2)=(2,30)$.

Step3: Calculate rate of change

$\frac{y_2 - y_1}{x_2 - x_1}=\frac{30 - 15}{2 - 1}=\frac{15}{1}=15$. This means 15 grapes are eaten per minute.