Answer:
0. A) 20% Increase
,
1. B) 12.5% decrease
,
2. C) 100% Increase
,
3. D) 50% decrease
Explanation:
To calculate the percentage increase or decrease, we use the formula below:
[tex]\text{Percentage Change=}\frac{Final\text{ Value-Initial Value}}{\text{Initial Value}}\times100[/tex]
Part A (From 50 to 60)
[tex]\begin{gathered} \text{Percentage Change=}\frac{60\text{-5}0}{\text{5}0}\times100 \\ =\frac{10}{50}\times100 \\ =20\% \end{gathered}[/tex]
We have a percentage increase of 20%.
Part B From 3200 to 2800
[tex]\begin{gathered} \text{Percentage Change=}\frac{2800\text{-}3200}{\text{3}200}\times100 \\ =\frac{-400}{3200}\times100 \\ =-12.5\% \end{gathered}[/tex]
We have a percentage decrease of 12.5%.
Part C (From 12 to 24)
[tex]\begin{gathered} \text{Percentage Change=}\frac{24\text{-}12}{\text{1}2}\times100 \\ =\frac{12}{12}\times100 \\ =100\% \end{gathered}[/tex]
We have a percentage increase of 100%.
Part D (From 60 to 30)
[tex]\begin{gathered} \text{Percentage Change=}\frac{30\text{-}60}{\text{6}0}\times100 \\ =\frac{-30}{60}\times100 \\ =-50\% \end{gathered}[/tex]
We have a percentage decrease of 50%.
The correct choices are A, B and C.
