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20 June, 08:58

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. If the desirable heart rate for a man is 135 beats per minute, how old is he?

a.

22.5 years old

b.

40 years old

c.

45 years old

d.

42.5 years old

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Answers (1)
  1. 20 June, 12:39
    0
    b. 40 years.

    Step-by-step explanation:

    For men R = 165 - 0.75a

    When R = 135:

    135 = 165 - 0.75a

    0.75a = 165 - 135 = 30

    a = 30 / 0.75

    = 40 years.
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