Question

14 Find the percent increase or decrease for each of the following values (indicate whether each is an increase or a decrease). a. 4x to x Decrease b. 0.25m to 0.5m 1 5 c. --2p to d. y to 0.68y 8p I

Answer 1

a) 4x to x is 75% decrease

b)0.25m

We want to find the percentage increase or decrease of each of the following;

Applying the formula;

`\begin{gathered} \text{ \% change =}\frac{final\text{ value - initial value}}{\text{ initial value}}*100\text{\%} \\ \text{if change is positive, then it increases.} \\ \text{if change is negative, it decreases} \end{gathered}`

a) 4x to x

`\begin{gathered} \text{ \%P =}(x-4x)/(4x)*100\text{\%}=-(3x)/(4x)*100\text{\%} \\ \text{\%P =}-0.75*100\text{\%} \\ \text{\%P =}-75\text{\%} \\ \therefore \\ 4x\text{ to }x\text{ }\Rightarrow75\text{\% decrease} \end{gathered}`

b) 0.25m to 0.5m

`\begin{gathered} \text{ \%P =}(0.5m-0.25m)/(0.25m)*100\text{\%}=(0.25m)/(0.25m)*100\text{\%} \\ \text{ \%P =}1*100\text{\%} \\ \text{ \%P =}100\text{\%} \\ \therefore \\ 0.25m\text{ to 0.5m }\Rightarrow\text{ 100\% increase} \end{gathered}`