Chapter 7.5, Problem 3E

To determine

To calculate: To find the percent of change.

Answer to Problem 3E

Percent increase = $\text{50\%}$

Explanation of Solution

Given information:

Consider the information provided in the question, Original: $\text{30 }$ and New: $\text{45}$

Formula used:

  $\text{percent of change, }p\text{\% =}\frac{\text{Amount of increrase or decrease}}{\text{Original amount}}$

Calculation:

It is observed that there is increase in percent,

  $\begin{array}{l}\text{percent of change, }p\text{\% =}\frac{\text{Amount of increrase or decrease}}{\text{Original amount}}\\ \text{ = }\frac{\text{Amount of increase}}{\text{Original Amount}}\text{ [write formula for percent of increase]}\\ \text{ = }\frac{45-30}{30}\text{ [substitute]}\\ \text{ = }\frac{\text{15}}{30}\text{ [subtract]}\\ \text{ =}\frac{\text{ 1 }}{2}\text{=50\% [simplify fraction}\text{. Then write as a percent] }\end{array}$

Therefore, Percent of increase = $\text{50\%}$