Question

which of the following statements describes the rate of change of f over the interval 1.5 < x<3? the rate of change is 1/2. the rate of change is 2. the rate of change is constant. the rate of change is increasing.

Answer 1

Remember that

the average rate of change is equal to

(f(b)-f(a))/(b-a)

in this problem we have

a=1.5

b=3

f(a)=f(1.5)=1

f(b)=f(3)=4

substitute

(4-1)/(3-1.5)

3/1.5

=2

therefore

the rate of change is 2