MATH SOLVE

3 months ago

Q:
# Select all the correct locations on the table

Accepted Solution

A:

The desired average rate of change is -60.

Consider the first and the last point of the table.

These points are (1, 27) and (5, -213)

The rate of change of a function is given as:

[tex] \frac{f( x_{2} )-f( x_{1} )}{ x_{2} - x_{1} } [/tex]

xβ is the last point and xβ is the first point. Using the values we get:

[tex] \frac{-213-27}{5-1} \\ \\ = \frac{-240}{4} \\ \\ =-60[/tex]

This means, the first and the last point give an average rate of change of -60.

Consider the first and the last point of the table.

These points are (1, 27) and (5, -213)

The rate of change of a function is given as:

[tex] \frac{f( x_{2} )-f( x_{1} )}{ x_{2} - x_{1} } [/tex]

xβ is the last point and xβ is the first point. Using the values we get:

[tex] \frac{-213-27}{5-1} \\ \\ = \frac{-240}{4} \\ \\ =-60[/tex]

This means, the first and the last point give an average rate of change of -60.