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

Intensity of Exercises

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

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 :

To solve this problem, let’s follow the given recommendations for the exercise intensity progression in Amber’s aerobic program. We are provided with the intensity for the first three visits, which remain constant. The intensity of those visits is 60%. Our next task is to find the intensities for the fourth, fifth, and sixth visits, which involve a gradual increase in intensity.

1. Maintaining constant intensity (first 3 visits):
- [tex]\(1^{st}\)[/tex] visit: [tex]\(60\%\)[/tex]
- [tex]\(2^{nd}\)[/tex] visit: [tex]\(60\%\)[/tex]
- [tex]\(3^{rd}\)[/tex] visit: [tex]\(60\%\)[/tex]

2. Gradually increasing intensity (next 3 visits):
- [tex]\(4^{th}\)[/tex] visit: slightly increased intensity from the first three visits.
- [tex]\(5^{th}\)[/tex] visit: further increased intensity from the [tex]\(4^{th}\)[/tex] visit.
- [tex]\(6^{th}\)[/tex] visit: even more increased intensity from the [tex]\(5^{th}\)[/tex] visit.

According to the problem and the principles outlined, Amber's exercise intensity for the fourth, fifth, and sixth visits should exhibit a gradual increase. The correct set of increments is precisely given as:

- [tex]\(4^{th}\)[/tex] visit: [tex]\(63\%\)[/tex]
- [tex]\(5^{th}\)[/tex] visit: [tex]\(65\%\)[/tex]
- [tex]\(6^{th}\)[/tex] visit: [tex]\(67\%\)[/tex]

Thus, the appropriate intensities for Amber’s exercise during the fourth, fifth, and sixth visits are [tex]\( \boxed{63\%, 65\%, 67\%} \)[/tex]. This is one of the options provided, confirming that these values represent the correct increases in exercise intensity according to the aerobic program recommendations.