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Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, R, in beats per minute, can be approximated by the formulas


R=143-0.65a for women

R=165-0.75a for men,


where a represents the person’s age. What would the desirable heart rate be for a 46 year old woman?

A113 beats per minute
B172.9 beats per minute
C143.7 beats per minute
D63 beats per minute

Verified Answer :

Giovi

I would say a) 113 beats per minute:
substituting 46 for a in the formula: R=143-0.65a you should get 113.

Answer:

Option a is correct.

The desirable heart rate be for a 46 year old woman is, 113 beats per minute.

Step-by-step explanation:

Here, R represents a person's desirable heart rate(in beats per minute)

and a represents the person's age.

The desirable heart rate of a person's can be approximated by the formulas;

For women:

\(R = 143 - 0.65a\)                  ......[1]

For men:

\(R = 165- 0.75a\)                 ......[2]

To find the desirable heart rate be for a 46 year old woman.

⇒\(a = 46 \text{years old woman}\)

Substitute in [1] we get;

\(R = 143 - 0.65(46)=143 -29.9 \approx 113\) beats per minute

Therefore, 113 beats per minute would the desirable heart rate be for a 46 years old woman.



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