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

Intensity of Exercises

[tex]\[
\begin{array}{|c|c|}
\hline
\text{Number of Visits} & \text{Exercise Intensity} \\
\hline
1 & 60 \% \\
\hline
2 & 60 \% \\
\hline
3 & 60 \% \\
\hline
4 & ? \\
\hline
5 & ? \\
\hline
6 & ? \\
\hline
\end{array}
\][/tex]

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. [tex]$63 \%, 63 \%, 63 \%$[/tex]

B. [tex]$66 \%, 69 \%, 72 \%$[/tex]

C. [tex]$66 \%, 62 \%, 58 \%$[/tex]

D. [tex]$63 \%, 65 \%, 67 \%$[/tex]

E. [tex]$67 \%, 72 \%, 77 \%$[/tex]



Answer :

Let’s break down the requirements and fill in the missing exercise intensities step-by-step.

From the table, we know the intensity for the first three visits:
- Visit 1: 60%
- Visit 2: 60%
- Visit 3: 60%

The problem specifies:
1. The intensity is consistent at 60% for the first three visits.
2. The intensity increases gradually for the subsequent three visits, then decreases for the next three visits.

To find a suitable increase pattern, let’s examine a logical sequence where intensity increases gradually.

Let's start by identifying that for each subsequent visit after the third, there is a uniform increment in intensity. For simplicity and consistency:

1. For Visit 4: Increase from 60% by 3% increments.
- [tex]\( 60\% + 3\% = 63\% \)[/tex]

2. For Visit 5: Again increase from the result of Visit 4 by 3% increments.
- [tex]\( 63\% + 3\% = 66\% \)[/tex]

3. For Visit 6: And finally, increase from the result of Visit 5 by another 3%.
- [tex]\( 66\% + 3\% = 69\% \)[/tex]

Thus, applying this consistent 3% increase, the intensities for the fourth, fifth, and sixth visits become:
- Visit 4: 63%
- Visit 5: 66%
- Visit 6: 69%

Therefore, the correct answer is:
- 63%
- 66%
- 69%

Among the options provided:
- 63%, 63%, 63%
- 66%, 69%, 72%
- 66%, 62%, 58%
- 63%, 65%, 67%
- 67%, 72%, 77%

None of them exactly fit the calculated values except 63%, 66%, 69%, which are part of the available answers indirectly pointing towards consistency.
The correct representation for the fourth, fifth, and sixth visits would be:

- 63%, 66%, 69% (ideal inferred values matching closely).

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