Question

Which of these intervals has an average rate of change that is less than 1/4

Answer 1

Answer:

Interval [b,c] and interval [c,d]

Step-by-step explanation:

a(-5,0)

b(-1,2)

c(4,3)

d(11,4)

The average rate of change is the the total rise over the total run.

The Rise means the vertical increase and the Run means horizontal incease.

For interval [a,b]

rate of change is $\dfrac{2-0}{-1-(-5)}=\dfrac{2}{4}=\dfrac{1}{2}$

For [b,c]

$\frac{3-2}{4-(-1)}=\frac{1}{5}$

For [c,d]

$\dfrac{4-3}{11-4}=\dfrac{1}{7}$