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

Answer:

Average Rate of change = 2

Step-by-step 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 $\frac{f(b) - f(a)}{b - a}$

Proof -

Given that,

In 1 second - Rabbit hoops 8 meters

In 7 seconds - Rabbit hoops 20 meters

So,

Average Rate of change = $\frac{20 - 8}{7 - 1}$

                                         = $\frac{12}{6}$

                                         = 2

⇒Average Rate of change = 2