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Question

Recommended heart rates during exercise vary with age and physical condition. For a healthy person doing moderate to intense exercise, such as hiking, the inequality $0.5(220-a) \leq R \leq 0.9(220-a)$ gives a target range for the heart rate R (in beats per minute), based on age a (in years). a. What is the target range for heart rates for a person 15 years old? b. How old is a person whose target range is between 99 and 178.2 beats per minute?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2$a)$To find the target range for heart rates for a person $15$ years old we need to substitute $a$ with $15$ in the inequality

$\begin{aligned}0.5(220-a)\le R&\le0.9(220-a)\\0.5(220-15)\le R&\le0.9(220-15)\\0.5\cdot205\le R&\le0.9\cdot205\\102.5\le R&\le184.5\end{aligned}$

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