Answer:
At 116 years and 8 months, the rate would be the same
The solution is not reasonable
Step-by-step explanation:
Given
[tex]m = 220 - a[/tex]
[tex]m = 206 - (0.88 * a)[/tex]
Solving (a): At what age would both rate be equal
To do this, we simply equate both expressions.
[tex]m = m[/tex]
This gives
[tex]220 - a = 206 - (0.88 * a)[/tex]
[tex]220 - a = 206 - 0.88 a[/tex]
Collect Like Terms
[tex]0.88a - a = 206 - 220[/tex]
[tex]-0.12a=-14[/tex]
Divide both sides by -0.12
[tex]\frac{-0.12a}{-0.12} =\frac{-14}{-0.12}[/tex]
[tex]a =\frac{-14}{-0.12}[/tex]
[tex]a =\frac{14}{0.12}[/tex]
Multiply fraction by 100/100
[tex]a = \frac{14*100}{0.12*100}[/tex]
[tex]a = \frac{1400}{12}[/tex]
[tex]a = 116\frac{8}{12}[/tex]
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.
