Question

In June, a runner ran a mile in 7:45. In September, the runner ran a mile in 5:51. what is the percent of change

Answer 1

To calculate the percent change in the runner's mile time from June to September, convert the times to seconds, find the difference, and use the percent change formula. The runner's time improved by 24.52%.

Step-by-step explanation:

To calculate the percent of change in the runner's mile time from June to September, we need to determine the difference in time and then compare it to the original time. The runner's time in June was 7 minutes and 45 seconds (7:45) and in September it was 5 minutes and 51 seconds (5:51).

We first convert these times to seconds: 7:45 is 465 seconds (7×60 + 45) and 5:51 is 351 seconds (5×60 + 51). The change in time is 465 seconds - 351 seconds which is 114 seconds.

The percent change is calculated using the formula:

Percent change = (Difference / Original value) × 100%

So for this question:

Percent change = (114 seconds / 465 seconds) × 100% = 24.52%

The runner's time improved by 24.52%.

Answer 2

100 / 7.45 = 13.422818791... (7.45 x that number = 100)
13.422818791... x 5.51 = 73.9597315436... (makes 5.51 equal to 7.45, if you know what I mean)
100 - 73.9597315436 = 26.040268456...% (difference between 100(7.45) and 73.95...(5.51))
Answer - 26.040268456%
This is my answer. I THINK it is correct but I do not guarantee it. enjoy!