Akeem will record the time it takes him to run 1 mile each day for 7 days. In order to meet his fitness challenge, his mean running time for 7 days must be 9 minutes or less. A list of Akeem's running times, in minutes, for the first 6 days is shown. A9.4, 9.0, 9.1, 8.9, 8.5, 8.8
What is the maximum running time that Akeem needs on the last day to meet his fitness challenge? Enter the answer in the box.
To find the maximum running time that Akeem needs on the last day to meet his fitness challenge, we need to consider the mean running time for all 7 days.
The sum of Akeem's running times for the first 6 days is: 9.4 + 9.0 + 9.1 + 8.9 + 8.5 + 8.8 = 53.7
To find the maximum running time on the last day, we can subtract the sum of the running times for the first 6 days from the desired mean running time multiplied by 7 (the total number of days).
Desired mean running time * 7 = 9 minutes * 7 = 63 minutes
Maximum running time on the last day = Desired mean running time * 7 - Sum of running times for the first 6 days = 63 - 53.7 = <<63-53.7=9.3>>9.3 minutes.
Therefore, the maximum running time that Akeem needs on the last day to meet his fitness challenge is 9.3 minutes.