Drag each tile to the correct box. consider the exponential functions below. put the functions, with their corresponding intervals, in order from least to greatest according to their average rates of change over those intervals. tiles function h interval [3, 5] function g interval [2, 3] function f interval [3, 6] third picture: x h(x) 1 1 2 2 3 4 4 8 5 16 6 32

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

Substitute

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

Substitute

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

Substitute

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: