Question

The maximum heart​ rate, in beats per​ minute, that you should achieve during exercise is 220 minus your​ age, 220 minus a. Your exercise goal is to improve cardiovascular conditioning. Use the following formulas to answer parts a and b. Lower limit of range Hequalsseven tenths left parenthesis 220 minus a right parenthesis Upper limit of range Hequalsfour fifths ​(220 minus a​) a. What is the lower limit of the heart​ range, in beats per​ minute, for a 43​-year-old with this exercise​ goal? The lower limit of the heart range is nothing beats per minute. ​(Round to the nearest integer as​ needed.)

Answer 1

a) Lower limit range = 119.7 ≈ 120

b) Upper limit range = 136.8 ≈ 137

Explanation:

Given:

a) Lower limit range =
`\frac{\textup{7}}{\textup{10}}*(220-\textup{Age})`

Therefore,

For the given person of age 43 years old

substituting the value of age in the above equation, we get

Lower limit range =
`\frac{\textup{7}}{\textup{10}}*(220-\textup{49})`

or

Lower limit range = 119.7 ≈ 120 beats per minute

b) The upper limit range =
`\frac{\textup{4}}{\textup{5}}*(220-\textup{Age})`

Therefore,

For the given person of age 43 years old

substituting the value of age in the above equation, we get

Upper limit range =
`\frac{\textup{4}}{\textup{5}}*(220-\textup{49})`

or

Upper limit range =
`\frac{\textup{4}}{\textup{5}}*(220-\textup{49})`

or

Upper limit range = 136.8 ≈ 137 beats per minute