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The model M= -0.711A+206.6 is used to determine the maximum heart rate M of anindividual who is age A.a. Solve for A.b. According to this model, what is the age of an individual whose maximum heart rate is163?

User Matthieu
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1 Answer

2 votes

The given equation models the maximum heart rate of a person:


M=-0.711A+206.6

Now.

a. Solve for A.

First, subtract both sides by 206.6


\begin{gathered} M-206.6=-0.711A+206.6-206.6 \\ M-206.6=-0.711A \end{gathered}

Then, divide both sides by -0.711


\begin{gathered} (M-206.6)/(-0.711)=(-0.711A)/(-0.711) \\ \end{gathered}

Simplify and get A:


A=(M-206.6)/(-0.711)

b. According to this model, what is the age of an individual whose maximum heart rate is 163?

Now, we need to replace = 163


\begin{gathered} A=(163-206.6)/(-0.711) \\ A=61.3 \end{gathered}

Hence, the individual would have an age of approximately 61 years.

User Mustafa Chelik
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