Question

Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest whole number percent.

Original amount: $46
New amount: $52
A. Increase by 13%
B. Decrease by 13%
C. Increase by 11%
D. Decrease by 11%

Answer 1

The amount increased from $46 to $52, which is an increase. Using the percentage change formula, the increase is calculated to be approximately 13.04%, and when rounded, it is 13%. Thus, the answer is A: Increase by 13%.

Step-by-step explanation:

To determine if there is an increase or decrease in percentage, you first need to calculate the change in amount and then compare the new amount to the original amount. Here, the original amount is $46, and the new amount is $52. The change in the amount is calculated by subtracting the original amount from the new amount, which is $52 - $46 = $6. To find the percentage change, you use the formula Percentage change = (Change in quantity / Original quantity) × 100%. Plugging the values into the formula gives us (6 / 46) × 100%, which equals approximately 13.04%. This is an increase, as the new amount is higher than the original amount. When rounded to the nearest whole number, the percentage change is 13%. Therefore, the correct option is A: Increase by 13%.