4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter A.6, Problem 90E

To determine

To find: the interval in which the person’s heart is form 50% to 85% of the maximum heart rate.

Expert Solution & Answer

Answer to Problem 90E

The required interval

200≤r≤340 .

Explanation of Solution

Given information:

Given

A 40 year old

Calculation:

The maximum heart rate in beats per minute is given by r=220−A .

The sedentary person should strive to increase his or her heart rate to at least 50% of the maximum heart rate. This means that the least increase in the maximum heart rate is 50% of the maximum heart rate, that is 50%(r)≤r .

Now, a healthy person should strive to increase his heart rate to at most 85% of the maximum heart rate. This means that the maximum increase in the maximum heart rate is at most 85% of the maximum heart rate, that is r≤85%(r) .

Combining the previous two equations, we get

50%(r)≤r≤85%(r).........(1)

For a 20 year old, the maximum heart rate is given by the equation

r=220−A

Here A=40

Therefore,

r=220−40r=180

For expressing the interval range of the target heart rate for a 40 year ols,

We put the value of r in% expressions of equation (1)

50%(r)≤r≤85%(r)50%(400)≤r≤85%(400)50100(400)≤r≤85100(400)200≤r≤340

This is the required interval.

Chapter A.6, Problem 89E

Chapter A.6, Problem 91E

Chapter A Solutions

EBK PRECALCULUS W/LIMITS

Ch. A.1 - Prob. 1E Ch. A.1 - Prob. 2E Ch. A.1 - Prob. 3E Ch. A.1 - Prob. 4E Ch. A.1 - Prob. 5E Ch. A.1 - Prob. 6E Ch. A.1 - Prob. 7E Ch. A.1 - Prob. 8E Ch. A.1 - Prob. 9E Ch. A.1 - Prob. 10E

Ch. A.1 - Prob. 11E Ch. A.1 - Prob. 12E Ch. A.1 - Prob. 13E Ch. A.1 - Prob. 14E Ch. A.1 - Prob. 15E Ch. A.1 - Prob. 16E Ch. A.1 - Prob. 17E Ch. A.1 - Prob. 18E Ch. A.1 - Prob. 19E Ch. A.1 - Prob. 20E Ch. A.1 - Prob. 21E Ch. A.1 - Prob. 22E Ch. A.1 - Prob. 23E Ch. A.1 - Prob. 24E Ch. A.1 - Prob. 25E Ch. A.1 - Prob. 26E Ch. A.1 - Prob. 27E Ch. A.1 - Prob. 28E Ch. A.1 - Prob. 29E Ch. A.1 - Prob. 30E Ch. A.1 - Prob. 31E Ch. A.1 - Prob. 32E Ch. A.1 - Prob. 33E Ch. A.1 - Prob. 34E Ch. A.1 - Prob. 35E Ch. A.1 - Prob. 36E Ch. A.1 - Prob. 37E Ch. A.1 - Prob. 38E Ch. A.1 - Prob. 39E Ch. A.1 - Prob. 40E Ch. A.1 - Prob. 41E Ch. A.1 - Prob. 42E Ch. A.1 - Prob. 43E Ch. A.1 - Prob. 44E Ch. A.1 - Prob. 45E Ch. A.1 - Prob. 46E Ch. A.1 - Prob. 47E Ch. A.1 - Prob. 48E Ch. A.1 - Prob. 49E Ch. A.1 - Prob. 50E Ch. A.1 - Prob. 51E Ch. A.1 - Prob. 52E Ch. A.1 - Prob. 53E Ch. A.1 - Prob. 54E Ch. A.1 - Prob. 55E Ch. A.1 - Prob. 56E Ch. A.1 - Prob. 57E Ch. A.1 - Prob. 58E Ch. A.1 - Prob. 59E Ch. 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