Question

The table shows the number of grapes eaten over several minutes. What is the rate of change for the function on the table? 15 grapes eaten per minute 15 minutes to eat each grape 60 grapes eaten per minute 60 minutes to eat each grape

Answer 1

Answer:

1. 15 grapes eaten per minute.

Step-by-step explanation:

We have been given a table that shows the number of grapes eaten over several minutes. We are asked to find the rate of change of our given function.

Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.  

$\text{Rate of change of a function}=\frac{\text{Vertical change}}{\text{Horizontal change}}$

$\text{Rate of change of a function}=\frac{y_2-y_1}{x_2-x_1}$

$y_2-y_1$=Difference between two y-coordinates.

$x_2-x_1$=Difference between corresponding x-coordinates of y-coordinates.    

Upon substituting coordinates of any two points in above formula we will get,

$\text{Rate of change of the function}=\frac{60-15}{4-1}$

$\text{Rate of change of the function}=\frac{45}{3}$

$\text{Rate of change of the function}=15$

We can see that rate of change of our given function is 15 grapes eaten per minute and 1st option is the correct choice.

Answer 2

Answer: 15 minutes per minute

Step-by-step explanation:

30-15 = 15

60-45 = 15

so therefore the grapes are eaten within fifteen minutes per minute