Participants in an exercise program gradually increase the time they exercise. The first week, they exercise 10 minutes per day. Each week after that, they increase their exercise time by 50%, until they are exercising at least 30 minutes or more per day. In what week of this program should participants begin exercising at least 30 or more minutes per day?
1st week >> 10 min/day
2nd >> 15 min
3rd >> 1.5 * 15 = 22.5 min
4th >> 22.5 * 1.5 = 33.75
To determine in which week participants should begin exercising for at least 30 minutes per day, we need to follow the given guidelines and calculate each week's exercise time until we reach the desired duration.
Let's start with the information we already have:
- In the first week, participants exercise for 10 minutes per day.
From the second week onwards, they increase their exercise time by 50% each week. To calculate the exercise time for each subsequent week, we'll follow these steps:
1. Multiply the previous week's exercise time by 1.5 to get the increase of 50%.
2. Add the increased time to the previous week's exercise time.
Here is the breakdown of the exercise time for each week:
Week 1: 10 minutes per day
Week 2: 10 * 1.5 = 15 minutes per day
Week 3: 15 * 1.5 = 22.5 minutes per day
Week 4: 22.5 * 1.5 = 33.75 minutes per day
By the end of Week 4, participants are exercising for at least 30 minutes or more per day. Therefore, participants should begin exercising at least 30 minutes or more per day in Week 4 of this program.