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

$Percentage\text{ change}=\frac{New\text{ value-Old value}}{Old\text{ value}}\times100\text{\%}$

From 33 to 34,

Old value = 33

New value = 34,

Substitute the values into the percentage change formula

$\begin{gathered} Percentage\text{ change}=\frac{New\text{ value-Old value}}{Old\text{ value}}\times100\text{\%} \\ Percentage\text{ change}=\frac{34-33}{33}\times100\text{\%}=\frac{1}{33}\times100\text{\%} \\ Percentage\text{ change}=3.0303\text{\%} \\ Percentage\text{ change}=3.0\text{\% (nearest tenth)} \end{gathered}$

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