Question

The area of Terry’s room at the old house was 96 ft.2. The area of Terry’s room at the new house is 108 ft.2.

What is the percent change, p, in the size of Terry’s room to the nearest tenth?

Answer 1

The percent change in the size of Terry's room when moving from the old house to the new house is 12.5%, calculated using the formula for percent change.

Step-by-step explanation:

To calculate the percent change in the size of Terry's room, we use the formula:

Percent Change (p) = ((New Area - Old Area) / Old Area) × 100

The old area is 96 ft.2 and the new area is 108 ft.2.

Substitute the given values into the formula:

p = ((108 - 96) / 96) × 100

p = (12 / 96) × 100

p = 0.125 × 100

p = 12.5%

The percent change in the size of Terry's room is 12.5%, which we can round to the nearest tenth as 12.5%.