Answer:
Answer:
For a=16, the Maximum Heart Rate is 188 Beats Per Minute.
Step-by-step explanation:
To begin, we know that the formula:
b(a)=200-0.75a Eqn(1).
is equivalent to a linear equation of algebraic form denoted as:
y=k+mx Eqn(2)
as such that Eqns (1) and (2) relate as follow:
y ⇔ b(a): denoting our Dependent Variable, in this case Max. Heart Rate in Beats Per Minute
x ⇔ a: is our Independent Variable, in this case the Age of the Person
m ⇔ 0.75: denoting the Rate of Change of the Age.
k ⇔ 200: denoting our Constant.
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.
Step-by-step explanation: :)
