Question

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?

Answer 1

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.