Question

G(t)=−(t−1) 2 +5g, left parenthesis, t, right parenthesis, equals, minus, left parenthesis, t, minus, 1, right parenthesis, squared, plus, 5 What is the average rate of change of ggg over the interval -4\leq t\leq 5−4≤t≤5minus, 4, is less than or equal to, t, is less than or equal to, 5?

Answer 1

it is 1

Explanation:

Answer 2

average = -9

lower than 5

Explanation:

You have the following formula:

`G(t)=-(t-1)^2+5`

to calculate the average rate of change you first calculate the derivative:

`(dG)/(dt)=-2(t-1)`

the interval of dG/dt for −4≤t≤5 is:

t = -4

`(dG)/(dt)=-2(-4-1)=10`

t = 5

`(dG)/(dt)=-2(5-1)=-8`

the average rate of change is :

`average\ =\ (-8-10)/(2)=-9`

is lower that 5