Question

Find the percent change. Round to the nearest tenth of a percent when necessary. From 33 to 34.

Answer 1

To find percentage change, the formula is

`Percentage\text{ change}=\frac{New\text{ value-Old value}}{Old\text{ value}}*100\text{\%}`

From 33 to 34,

Old value = 33

New value = 34,

Substitute the values into the percentage change formula

`\begin{gathered} Percentage\text{ change}=\frac{New\text{ value-Old value}}{Old\text{ value}}*100\text{\%} \\ Percentage\text{ change}=(34-33)/(33)*100\text{\%}=(1)/(33)*100\text{\%} \\ Percentage\text{ change}=3.0303\text{\%} \\ Percentage\text{ change}=3.0\text{\% (nearest tenth)} \end{gathered}`

Hence, the percentage change from 33 to 34 is 3.0% increase (nearest tenth)