Question

Find the percent change to the nearest whole percent.
​
​From 45 feet to 95 feet
.
A
111% decrease111\% \ \text{decrease}111% decrease
B
53% increase53\% \ \text{increase}53% increase
C
111% increase111\% \ \mathrm{increase}111% increase
D
53% decrease53\% \ \text{decrease}53% decrease

Answer 1

To find the percent change from 45 feet to 95 feet, we can use the following formula for percent change:

\[
\text{Percent Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\%
\]

Here, the old value is 45 feet and the new value is 95 feet.

1. Calculate the change in value:
\[
\text{Change} = 95 - 45 = 50 \text{ feet}
\]

2. Substitute the values into the formula:
\[
\text{Percent Change} = \frac{50}{45} \times 100\%
\]

3. Perform the division:
\[
\frac{50}{45} \approx 1.1111
\]

4. Convert to a percentage:
\[
1.1111 \times 100 = 111.11\%
\]

5. Round to the nearest whole percent:
\[
111\%
\]

Since the change is from 45 feet to 95 feet (an increase), the answer is:

**C. 111% increase**