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

A function assigns the value of each element of one set to the other specific element of another set. The correct option is A, 15 grapes eaten per minute.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given that the table shows the number of grapes eaten over several minutes. Therefore, the rate of change for the function on the table can be written as,

Rate of Change = (Difference in the number of grapes eaten)/(Difference in the Number of minutes)

                           = (30-15) grapes / (2-1) minutes

                           = 15 grapes per minute

Hence, for the given function in the table the rate of change is 15 grapes eaten per minute.

Learn more about Function:

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