Question

Another doctor suggest that for women, there are two researched formulas to find a maximum heart rate m in terms of age a m=220 -a m=206-(0.88xa) using the two equations, at what age year and months would both formulas give the same solution for m? How did yoh find this age? Is your solution reasonable? Explain your reasoning

Answer 1

At 116 years and 8 months, the rate would be the same

The solution is not reasonable

Explanation:

Given

`m = 220 - a`

`m = 206 - (0.88 * a)`

Solving (a): At what age would both rate be equal

To do this, we simply equate both expressions.

`m = m`

This gives

`220 - a = 206 - (0.88 * a)`

`220 - a = 206 - 0.88 a`

Collect Like Terms

`0.88a - a = 206 - 220`

`-0.12a=-14`

Divide both sides by -0.12

`(-0.12a)/(-0.12) =(-14)/(-0.12)`

`a =(-14)/(-0.12)`

`a =(14)/(0.12)`

Multiply fraction by 100/100

`a = (14*100)/(0.12*100)`

`a = (1400)/(12)`

`a = 116(8)/(12)`

This implies at 116 years and 8 months, the rate would be the same

Is the solution reasonable?

No, it is not reasonable, considering the life expectancy of women to be around 70-72 years old.

116 years old is way too bigger than the life expectancy.