Answer :
To find the percent of increase from 46.5 to 80 and round the answer to the nearest tenth of a percent, follow these steps:
1. Determine the Amount of Increase:
Subtract the initial value from the final value:
[tex]\[
\text{Increase} = 80 - 46.5 = 33.5
\][/tex]
2. Calculate the Percent Increase:
Use the formula for percent increase:
[tex]\[
\text{Percent Increase} = \left(\frac{\text{Increase}}{\text{Initial Value}}\right) \times 100
\][/tex]
Substitute the known values:
[tex]\[
\text{Percent Increase} = \left(\frac{33.5}{46.5}\right) \times 100 \approx 72.04301075268818
\][/tex]
3. Round the Percent Increase:
Round the calculated percent increase to the nearest tenth:
[tex]\[
72.04301075268818 \approx 72.0
\][/tex]
Therefore, the percent of increase from 46.5 to 80 is approximately 72.0%.
1. Determine the Amount of Increase:
Subtract the initial value from the final value:
[tex]\[
\text{Increase} = 80 - 46.5 = 33.5
\][/tex]
2. Calculate the Percent Increase:
Use the formula for percent increase:
[tex]\[
\text{Percent Increase} = \left(\frac{\text{Increase}}{\text{Initial Value}}\right) \times 100
\][/tex]
Substitute the known values:
[tex]\[
\text{Percent Increase} = \left(\frac{33.5}{46.5}\right) \times 100 \approx 72.04301075268818
\][/tex]
3. Round the Percent Increase:
Round the calculated percent increase to the nearest tenth:
[tex]\[
72.04301075268818 \approx 72.0
\][/tex]
Therefore, the percent of increase from 46.5 to 80 is approximately 72.0%.