Question

A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters. What is the rabbit's average rate of change?

Answer 1

Average Rate of change = 2

Explanation:

Given - A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters.

To find - What is the rabbit's average rate of change?

Formula used -

Average rate of change of a function f(x) in an interval [a, b] is
`(f(b) - f(a))/(b - a)`

Proof -

Given that,

In 1 second - Rabbit hoops 8 meters

In 7 seconds - Rabbit hoops 20 meters

So,

Average Rate of change =
`(20 - 8)/(7 - 1)`

=
`(12)/(6)`

= 2

⇒Average Rate of change = 2