Answer :
Sure, let's go through the process of finding each part of your Target Heart Rate Zone (THRZ) step-by-step.
First, we are given the ages and the corresponding Maximum Heart Rates (Max HR). From the table:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline \text{Age} & 12 & 13 & 14 & 15 & 16 & 17 & 18 \\ \hline \text{Max HR} & 208 & 207 & 206 & 205 & 204 & 203 & 202 \\ \hline \end{array} \][/tex]
### Step 1: Calculate the Target Ceiling
The Target Ceiling is calculated as 90% of your Maximum Heart Rate (Max HR).
[tex]\[ \text{Target Ceiling} = 0.90 \times \text{Max HR} \][/tex]
#### For each age:
- Age 12: [tex]\( 0.90 \times 208 = 187.2 \)[/tex]
- Age 13: [tex]\( 0.90 \times 207 = 186.3 \)[/tex]
- Age 14: [tex]\( 0.90 \times 206 = 185.4 \)[/tex]
- Age 15: [tex]\( 0.90 \times 205 = 184.5 \)[/tex]
- Age 16: [tex]\( 0.90 \times 204 = 183.6 \)[/tex]
- Age 17: [tex]\( 0.90 \times 203 = 182.7 \)[/tex]
- Age 18: [tex]\( 0.90 \times 202 = 181.8 \)[/tex]
### Step 2: Calculate the Threshold of Training
The Threshold of Training is calculated as 60% of your Maximum Heart Rate (Max HR).
[tex]\[ \text{Threshold of Training} = 0.60 \times \text{Max HR} \][/tex]
#### For each age:
- Age 12: [tex]\( 0.60 \times 208 = 124.8 \)[/tex]
- Age 13: [tex]\( 0.60 \times 207 = 124.2 \)[/tex]
- Age 14: [tex]\( 0.60 \times 206 = 123.6 \)[/tex]
- Age 15: [tex]\( 0.60 \times 205 = 123 \)[/tex]
- Age 16: [tex]\( 0.60 \times 204 = 122.4 \)[/tex]
- Age 17: [tex]\( 0.60 \times 203 = 121.8 \)[/tex]
- Age 18: [tex]\( 0.60 \times 202 = 121.2 \)[/tex]
### Summary of Results
The results for the given ages are as follows:
[tex]\[ \begin{array}{|c|c|c|c|} \hline \text{Age} & \text{Max HR} & \text{Target Ceiling} & \text{Threshold of Training} \\ \hline 12 & 208 & 187.2 & 124.8 \\ 13 & 207 & 186.3 & 124.2 \\ 14 & 206 & 185.4 & 123.6 \\ 15 & 205 & 184.5 & 123.0 \\ 16 & 204 & 183.6 & 122.4 \\ 17 & 203 & 182.7 & 121.8 \\ 18 & 202 & 181.8 & 121.2 \\ \hline \end{array} \][/tex]
So, your Target Heart Rate Zone (THRZ) for each age is from the Threshold of Training to the Target Ceiling. For example, for a 12-year-old, the THRZ is from 124.8 bpm to 187.2 bpm. This zone represents the heart rate range in which physical training is effective and safe.
First, we are given the ages and the corresponding Maximum Heart Rates (Max HR). From the table:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline \text{Age} & 12 & 13 & 14 & 15 & 16 & 17 & 18 \\ \hline \text{Max HR} & 208 & 207 & 206 & 205 & 204 & 203 & 202 \\ \hline \end{array} \][/tex]
### Step 1: Calculate the Target Ceiling
The Target Ceiling is calculated as 90% of your Maximum Heart Rate (Max HR).
[tex]\[ \text{Target Ceiling} = 0.90 \times \text{Max HR} \][/tex]
#### For each age:
- Age 12: [tex]\( 0.90 \times 208 = 187.2 \)[/tex]
- Age 13: [tex]\( 0.90 \times 207 = 186.3 \)[/tex]
- Age 14: [tex]\( 0.90 \times 206 = 185.4 \)[/tex]
- Age 15: [tex]\( 0.90 \times 205 = 184.5 \)[/tex]
- Age 16: [tex]\( 0.90 \times 204 = 183.6 \)[/tex]
- Age 17: [tex]\( 0.90 \times 203 = 182.7 \)[/tex]
- Age 18: [tex]\( 0.90 \times 202 = 181.8 \)[/tex]
### Step 2: Calculate the Threshold of Training
The Threshold of Training is calculated as 60% of your Maximum Heart Rate (Max HR).
[tex]\[ \text{Threshold of Training} = 0.60 \times \text{Max HR} \][/tex]
#### For each age:
- Age 12: [tex]\( 0.60 \times 208 = 124.8 \)[/tex]
- Age 13: [tex]\( 0.60 \times 207 = 124.2 \)[/tex]
- Age 14: [tex]\( 0.60 \times 206 = 123.6 \)[/tex]
- Age 15: [tex]\( 0.60 \times 205 = 123 \)[/tex]
- Age 16: [tex]\( 0.60 \times 204 = 122.4 \)[/tex]
- Age 17: [tex]\( 0.60 \times 203 = 121.8 \)[/tex]
- Age 18: [tex]\( 0.60 \times 202 = 121.2 \)[/tex]
### Summary of Results
The results for the given ages are as follows:
[tex]\[ \begin{array}{|c|c|c|c|} \hline \text{Age} & \text{Max HR} & \text{Target Ceiling} & \text{Threshold of Training} \\ \hline 12 & 208 & 187.2 & 124.8 \\ 13 & 207 & 186.3 & 124.2 \\ 14 & 206 & 185.4 & 123.6 \\ 15 & 205 & 184.5 & 123.0 \\ 16 & 204 & 183.6 & 122.4 \\ 17 & 203 & 182.7 & 121.8 \\ 18 & 202 & 181.8 & 121.2 \\ \hline \end{array} \][/tex]
So, your Target Heart Rate Zone (THRZ) for each age is from the Threshold of Training to the Target Ceiling. For example, for a 12-year-old, the THRZ is from 124.8 bpm to 187.2 bpm. This zone represents the heart rate range in which physical training is effective and safe.
