contestada

Between x = 2 and x = 3, which function has a greater average rate of change than y = 13-x ?

A)y = 2xB)y = 5x-2C)y = 14-xD)y = 23-x

Respuesta :

carlosego
For this case we have the following function:
 y = 13-x
 The function is linear, therefore, the average change rate is given by the slope of the line.
 In this case the slope is:
 m = -1
 The linear function with the highest rate of change (greater slope in this case) is given by:
 y = 5x-2
 In this case the slope is:
 m = 5
 Answer:
 A function that has a greater average rate of change than y = 13-x is:
 B) y = 5x-2
kthegoat20

y=1/4^-x

average rate of change =  

Δy

Δx

The average rate of changes for each of the functions between 2 and 3 is 4, 48,  

9

8

, and 4. The average rate of change of y =  

1

3

-x is 18. Therefore the average rate of change that is greater is 48, which is the function y =  1/4 ^-x