Question

Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. What is the

rate of change?

Answer 1

Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. The rate of change is 391.5 % increase

Solution:

Given that Two years ago, Sally had 5,000 dogs in her dog shelter

Now she has 24,575 dogs

To find: rate of change

A rate of change is a rate that describes how one quantity changes in relation to another quantity

Steps to follow:

• First: work out the difference (increase) between the two numbers you are comparing.

• Increase = New Number - Original Number.

• Then: divide the increase by the original number and multiply the answer by 100.

• % change = Increase ÷ Original Number x 100

`\text {rate of change }=\frac{\text { new value }-\text {original value}}{\text {original value}} * 100`

`\begin{array}{l}{\text { rate of change }=(24,575-5000)/(5000) * 100} \\\\ {\text { rate of change }=(19575)/(5000) * 100=391.5}\end{array}`

Thus the rate of change is 391.5 % increase