To find the percentage difference between Megan's and Amy's times in the 100-meter dash, follow these steps:
1. Find the Absolute Difference in Times:
- Megan's time: 14.14 seconds
- Amy's time: 14.5 seconds
- The difference in time is given by the absolute value of the difference between their times:
[tex]\[
\text{Difference} = \left| \text{Megan's time} - \text{Amy's time} \right|
\][/tex]
[tex]\[
\text{Difference} = \left| 14.14 - 14.5 \right|
\][/tex]
[tex]\[
\text{Difference} = 0.36 \text{ seconds}
\][/tex]
2. Calculate the Percentage Difference Relative to Amy's Time:
- The percentage difference relative to Amy’s time can be calculated using the formula:
[tex]\[
\text{Percentage Difference} = \left( \frac{\text{Difference}}{\text{Amy's time}} \right) \times 100
\][/tex]
[tex]\[
\text{Percentage Difference} = \left( \frac{0.36}{14.5} \right) \times 100
\][/tex]
[tex]\[
\text{Percentage Difference} \approx 2.48 \%
\][/tex]
3. Round to the Nearest Hundredth of a Percent:
- The result [tex]\(\approx 2.48 \%\)[/tex] is already rounded to the nearest hundredth of a percent.
Therefore, Megan's time differed from Amy's time by approximately 2.48%.
