Question

1. what is the percent increase?

a. original quantity: 100 new quantity: 106
amount of increase:

percent increase:

= % increase
b. original quantity: 10 new quantity: 16
c. original quantity: 50 new quantity: 56

Explanation:

Step1: Calculate the amount of increase

The formula for the amount of increase is \( \text{New quantity}-\text{Original quantity} \).
For part a: \( 106 - 100=6 \)
For part b: \( 16 - 10 = 6 \)
For part c: \( 56 - 50=6 \)

Step2: Calculate the percent increase

The formula for percent increase is \( \frac{\text{Amount of increase}}{\text{Original quantity}}\times100\% \)
For part a: \( \frac{6}{100}\times100\% = 6\% \)
For part b: \( \frac{6}{10}\times100\%=60\% \)
For part c: \( \frac{6}{50}\times100\% = 12\% \)

Answer:

a. Amount of increase: \( 106-100 = 6 \); Percent increase: \( \frac{6}{100}=0.06 = 6\%\)
b. Amount of increase: \( 16 - 10=6 \); Percent increase: \( \frac{6}{10}=0.6 = 60\%\)
c. Amount of increase: \( 56 - 50 = 6 \); Percent increase: \( \frac{6}{50}=0.12=12\%\)