The given equation models the maximum heart rate of a person:
[tex]M=-0.711A+206.6[/tex]Now.
a. Solve for A.
First, subtract both sides by 206.6
[tex]\begin{gathered} M-206.6=-0.711A+206.6-206.6 \\ M-206.6=-0.711A \end{gathered}[/tex]Then, divide both sides by -0.711
[tex]\begin{gathered} \frac{M-206.6}{-0.711}=\frac{-0.711A}{-0.711} \\ \end{gathered}[/tex]Simplify and get A:
[tex]A=\frac{M-206.6}{-0.711}[/tex]b. According to this model, what is the age of an individual whose maximum heart rate is 163?
Now, we need to replace = 163
[tex]\begin{gathered} A=\frac{163-206.6}{-0.711} \\ A=61.3 \end{gathered}[/tex]Hence, the individual would have an age of approximately 61 years.
