Answer:
-0.4
Step-by-step explanation:
We are given that an interval [-3,2] and the values of function h(t) given
We have to find the average rate of change of h(t) over the interval [-3,2].
We know that
Average rate of change of function f(x) on interval [a,b] is given by
Average rate of change of f(x)[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
h(t) at t=-3
h(t)=2
at t=2
h(t)=0
Using the formula
Average rate of change of h over interval [-3,2]=[tex]\frac{0-2}{2-(-3)}[/tex]
Average rate of change of h over interval [-3,2]=[tex]-\frac{2}{2+3}=-\frac{2}{5}[/tex]
Average rate of change of h over interval [-3,2]=-0.4
