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blsea [12.9K]
3 years ago
7

The Baker formula estimates the maximum heart rate, in beats per minute, of a person who is

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

For a=16, the Maximum Heart Rate is 188 Beats Per Minute.

Step-by-step explanation:

<em>To begin, we know that the formula:</em>

b(a)=200-0.75a    Eqn(1).

<u>is equivalent to a linear equation of algebraic form denoted as:</u>

y=k+mx                  Eqn(2)

<em>as such that  Eqns (1) and (2) relate as follow:</em>

y ⇔ b(a): denoting our Dependent Variable, in this case <em>Max. Heart Rate in Beats Per Minute</em>

x ⇔ a: is our Independent Variable<em>, </em>in this case the <em>Age of the Person</em>

m ⇔ 0.75: denoting the<em> Rate of Change of the Age.</em>

k ⇔ 200: denoting our <em>Constant.</em>

Now in the question our value of b(a) is given as 188 beats per minute, which by plugging in Eqn(1) gives:

200-0.75a=188

from which we can solve to obtain the value of a as follow:

-0.75a=188-200          Gather similar terms on each side

-0.75a=-12\\                   Simplify

a=\frac{-12}{-0.75}                           Solve for a

a=16

Which tells us that at the Age of 16, the Max. Heart Rate is 188 Beats Per Minute.

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