A swimmer's best time in an event is 53.87 seconds. On average, his best time decreases by 0.28 seconds each of the next five times he swims the event. Does he accomplish his goal of swimming the event in less than 52.5 seconds?
To determine if the swimmer accomplishes his goal of swimming the event in less than 52.5 seconds, we need to calculate his time for the next five swims.
First, let's calculate the times for each of the next five swims:
1st swim: 53.87 seconds
2nd swim: 53.87 - 0.28 = 53.59 seconds
3rd swim: 53.59 - 0.28 = 53.31 seconds
4th swim: 53.31 - 0.28 = 53.03 seconds
5th swim: 53.03 - 0.28 = 52.75 seconds
The swimmer's best time after five swims is 52.75 seconds. This means he accomplishes his goal of swimming the event in less than 52.5 seconds.