An ivy plant was 14 inches long. Four years later it was 30 inches long.

What was the percent increase, to the nearest hundredth, of the length of the ivy? Enter the answer in the box

1 answer

To calculate the percent increase in the length of the ivy plant, we can use the formula for percent increase:

\[ \text{Percent Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

In this case, the old value is 14 inches and the new value is 30 inches.

  1. Calculate the increase in length:

\[ 30 - 14 = 16 \text{ inches} \]

  1. Now plug the values into the percent increase formula:

\[ \text{Percent Increase} = \left( \frac{16}{14} \right) \times 100 \]

  1. Compute the fraction:

\[ \frac{16}{14} = 1.142857 \]

  1. Now multiply by 100 to get the percent:

\[ 1.142857 \times 100 = 114.2857 \]

  1. Rounding to the nearest hundredth, we get:

\[ 114.29 \]

Therefore, the percent increase of the length of the ivy plant is 114.29%.