Question

Sam is challenging himself to improve the length of time (in seconds) he can hold a wall-sit. Sam held each wall-sit until failure. The table shows the time for each day.

Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 Day 8 Day 9 Day 10
Wall-sit 50 55 57 57 52 60 65 83 69 70

Sam claims his percent increase is 40%. Do you agree or disagree? Support your decision.

Answer 1

After comparing the initial and final wall-sit times, it was found that Sam is correct in claiming a 40% increase in his wall-sit duration from Day 1 to Day 10.

Step-by-step explanation:

To determine whether Sam's claim of a 40% increase in the time he can hold a wall-sit is correct, we compare the wall-sit duration on Day 1 to the wall-sit duration on Day 10. Originally on Day 1, Sam held the wall-sit for 50 seconds. After 10 days of practice, on Day 10, he managed to hold it for 70 seconds.

First, we find the actual increase by subtracting the original value from the new value:

70 seconds (Day 10) - 50 seconds (Day 1) = 20 seconds

Now, we compute the percent increase:

Percent Increase = (Actual Increase / Original Value) × 100

Percent Increase = (20 seconds / 50 seconds) × 100 = 40%

Therefore, Sam's claim of a 40% increase is correct.