Improvement in Star Runner's Performance
How can we calculate the relative change in the star runner's 1500-meter race time?
A track coach has a stopwatch that keeps the runner's times, but only in seconds. The star runner's 1500-meter race time decreased by 1.92% from 260 seconds at the first meet to 255 seconds at the next meet, indicating improved performance.
Calculation of Relative Change
The relative change in the star runner's 1500-meter race time can be calculated using the formula:
Relative Change = (New Value - Old Value) / Old Value * 100%
In this case, the old value is the time recorded at the first track meet (260 seconds), and the new value is the time recorded at the next track meet (255 seconds).
To calculate the relative change in the star runner's 1500-meter race time:
Relative Change = (255 - 260) / 260 * 100% = -5 / 260 * 100% = -1.92%
Therefore, there is a relative decrease of 1.92% in the star runner's 1500-meter race time from the first track meet to the next, indicating improved performance.