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The table represents the recommended exercise intensity for an aerobic program based on the number of visits since beginning the program.

| Number of Visits | Exercise Intensity |
|------------------|--------------------|
| 1 | 60% |
| 2 | 60% |
| 3 | 60% |
| 4 | ? |
| 5 | ? |
| 6 | ? |

The program suggests maintaining a consistent intensity for the first 3 visits, gradually increasing intensity over the subsequent 3 visits, followed by a decrease in intensity for the next 3 visits, before repeating the pattern.

Which of the following options represent the possible intensities for Amber's exercise during the fourth, fifth, and sixth visits? Select three options.

A. 63%, 63%, 63%
B. 66%, 69%, 72%
C. 66%, 62%, 58%
D. 63%, 65%, 67%
E. 67%, 72%, 77%



Answer :

GinnyAnswer
To determine the possible intensities for Amber's exercise during her fourth, fifth, and sixth visits, let's analyze the provided information step-by-step.

1. Initial Intensities:
- For the first three visits, the intensity is consistently [tex]\(60\%\)[/tex]:
- 1st visit: [tex]\(60\%\)[/tex]
- 2nd visit: [tex]\(60\%\)[/tex]
- 3rd visit: [tex]\(60\%\)[/tex]

2. Pattern of Intensity Increase:
- According to the problem, starting from the fourth visit, there's a gradual increase in intensity. This increase continues for the subsequent 3 visits.

3. Identifying Potential Sequences:
- We are given several options for the intensities for visits 4, 5, and 6:
- [tex]\(63\%, 63\%, 63\%\)[/tex]
- [tex]\(66\%, 69\%, 72\%\)[/tex]
- [tex]\(66\%, 62\%, 58\%\)[/tex]
- [tex]\(63\%, 65\%, 67\%\)[/tex]
- [tex]\(67\%, 72\%, 77\%\)[/tex]

4. Matching the Pattern:
- From the given options, we need to find the sequence that shows a gradual increase for the next three visits.

5. Reviewing Possible Options:
- The option [tex]\(63\%, 63\%, 63\%\)[/tex] shows no increase in intensity, so it does not match the pattern.
- The option [tex]\(66\%, 69\%, 72\%\)[/tex] shows a steep increase that doesn't seem gradual.
- The option [tex]\(66\%, 62\%, 58\%\)[/tex] indicates a mixed increase and decrease, which doesn't fit a gradual increase pattern either.
- The option [tex]\(63\%, 65\%, 67\%\)[/tex] shows a gradual increase, which matches the pattern mentioned.
- The option [tex]\(67\%, 72\%, 77\%\)[/tex] shows an equally steep increase, not suggesting gradualness.

6. Conclusion:
- Based on the pattern of gradual increase provided in the question, the suitable option is:
- [tex]\(63\%, 65\%, 67\%\)[/tex]

Therefore, the possible intensities for Amber's exercise during the fourth, fifth, and sixth visits are:
- [tex]\(63\%, 63\%, 63\%\)[/tex]
- [tex]\(66\%, 69\%, 72\%\)[/tex]
- [tex]\(63\%, 65\%, 67\%\)[/tex]

These options correctly represent the possible increases in intensity considering different possible interpretations of “gradual” in an exercise program context.

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