Final answer:
Equating the given formulas for maximum heart rate yields an age of 116.67 years, which is not realistic. This suggests there is an error since typical maximum heart rate calculations don't intersect at such ages.
Step-by-step explanation:
To determine at what age both formulas for maximum heart rate (m) yield the same value, we need to set the two formulas equal to each other and solve for age (a).
The formulas are:
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- m = 220 - a
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- m = 206 - (0.88 * a)
Equating the two formulas, we get:
220 - a = 206 - (0.88 * a)
Combining like terms and solving for a:
a - 0.88a = 206 - 220
0.12a = -14
a = -14 / 0.12
a = -116.67 (which is not possible for age)
It seems there is an error since age cannot be negative. However, if we re-calculate:
a = 14 / 0.12
a = 116.67
Age cannot be 116.67 years since the typical maximum heart rate calculations consider a practical range of human ages. There must be an error in either the formulas provided or in the assumption that they should intersect at a particular age under normal circumstances.