Target heart rate is determined by multiplying the reserve heart rate by training intensity level, p, where 0 <= p <= 1, and adding the resting heart rate. An adult woman with a resting heart rate of 65 beats per minute (bpm) and a reserve heart rate of 125bpm is told by a trainer that her target heart rate should not exceed 140bpm. What is the maximum training intensity level, p, that is consistent with her trainer's advice?

Identify Values: Identify the given values. Resting heart rate (RHR): 65 bpm Reserve heart rate (ResHR): 125 bpm Trainer's advice for maximum target heart rate (MaxTHR): 140 bpm We need to find the maximum training intensity level, p.Write Formula: Write down the formula for the target heart rate (THR). THR = (ResHR * p) + RHR We know the THR should not exceed 140 bpm, so we set the formula equal to 140 bpm. 140 = (125 * p) + 65Solve for p: Solve for p. Subtract the resting heart rate from both sides of the equation. 140 - 65 = 125 * p 75 = 125 * pDivide to Isolate p: Divide both sides of the equation by 125 to isolate p. p = 75 / 125 p = 0.6

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Target heart rate is determined by multiplying the reserve heart rate by training intensity level,
p, where
0 <= p <= 1, and adding the resting heart rate. An adult woman with a resting heart rate of 65 beats per minute (bpm) and a reserve heart rate of
125bpm is told by a trainer that her target heart rate should not exceed
140bpm. What is the maximum training intensity level,
p, that is consistent with her trainer's advice?

Target heart rate is determined by multiplying the reserve heart rate by training intensity level, $p$ , where $0 \leq p \leq 1$ , and adding the resting heart rate. An adult woman with a resting heart rate of $65$ beats per minute ( $\text{bpm}$ ) and a reserve heart rate of $125\text{bpm}$ is told by a trainer that her target heart rate should not exceed $140\text{bpm}$ . What is the maximum training intensity level, $p$ , that is consistent with her trainer's advice?

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Q. Target heart rate is determined by multiplying the reserve heart rate by training intensity level,

p

, where

0 \leq p \leq 1

, and adding the resting heart rate. An adult woman with a resting heart rate of

65

beats per minute (

\text{bpm}

) and a reserve heart rate of

125\text{bpm}

is told by a trainer that her target heart rate should not exceed

140\text{bpm}

. What is the maximum training intensity level,

p

, that is consistent with her trainer's advice?

Identify Values: Identify the given values. $\newline$ Resting heart rate (RHR): $65$ bpm $\newline$ Reserve heart rate (ResHR): $125$ bpm $\newline$ Trainer's advice for maximum target heart rate (MaxTHR): $140$ bpm $\newline$ We need to find the maximum training intensity level, $p$ .
Write Formula: Write down the formula for the target heart rate (THR). $\newline$ $THR = (ResHR \times p) + RHR$ $\newline$ We know the THR should not exceed $140$ bpm, so we set the formula equal to $140$ bpm. $\newline$ $140 = (125 \times p) + 65$
Solve for $p$ : Solve for $p$ . $\newline$ Subtract the resting heart rate from both sides of the equation. $\newline$ $140 - 65 = 125 \times p$ $\newline$ $75 = 125 \times p$
Divide to Isolate $p$ : Divide both sides of the equation by $125$ to isolate $p$ .
$p = \frac{75}{125}$
$p = 0.6$