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

Answer:

average = -9

lower than 5

Step-by-step explanation:

You have the following formula:

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

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

$\frac{dG}{dt}=-2(t-1)$

the interval of dG/dt for −4≤t≤5 is:

t = -4

$\frac{dG}{dt}=-2(-4-1)=10$

t = 5

$\frac{dG}{dt}=-2(5-1)=-8$

the average rate of change is :

$average\ =\ \frac{-8-10}{2}=-9$

is lower that 5