Question

Tell whether the percent change is an increase or decrease, and then find the percent change for the following:

Original amount: 7.5
New amount: 9.5

Round the percent change to the nearest percent.

Answer 1

The change from 7.5 to 9.5 represents an increase. The percent increase is calculated as approximately 26.67%, which rounds to 27%.

Step-by-step explanation:

The question asks us to determine whether the percentage change between the original amount and the new amount is an increase or decrease, and then to calculate the percent change itself. Since the new amount (9.5) is greater than the original amount (7.5), we can immediately tell that this is an increase.

To calculate the percent increase, we use the formula:

Percentage change = \((\frac{{Change in quantity}}{{Original quantity}}) \times 100\%

First, we find the change in quantity:

Change in quantity = New amount - Original amount

Change in quantity = 9.5 - 7.5 = 2

Now, we can plug the numbers into the formula:

Percentage increase = \((\frac{2}{7.5}) \times 100\%\) = \((\frac{2}{7.5}) \times 100\)\approx 26.67\%

When rounded to the nearest percent, the percentage change is approximately 27%.