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
[tex]\text {rate of change }=\frac{\text { new value }-\text {original value}}{\text {original value}} \times 100[/tex]
[tex]\begin{array}{l}{\text { rate of change }=\frac{24,575-5000}{5000} \times 100} \\\\ {\text { rate of change }=\frac{19575}{5000} \times 100=391.5}\end{array}[/tex]
Thus the rate of change is 391.5 % increase
