Question

b. original quantity: 10 new quantity: 16
c. original quantity: 50 new quantity: 56

1. if the original quantity is 15 and the new quantity is 19, which is the best estimate for the percent change?

a 25% decrease
b 5% decrease
c 5% increase
d 25% increase

Explanation:

Step1: Calculate the amount of change

Since the new quantity \(19\) is greater than the original quantity \(15\), it is an increase. The amount of increase is \(19 - 15=4\).

Step2: Calculate the percent change formula

The formula for percent change is \(\text{Percent Change}=\frac{\text{Amount of Change}}{\text{Original Amount}}\times100\%\). Substitute the values: \(\frac{4}{15}\times 100\%=\frac{400}{15}\%\approx 26.67\%\).

Step3: Estimate and compare with options

\(26.67\%\) is closest to \(25\%\) increase.

Answer:

D. \(25\%\) increase