Answer:
Step-by-step explanation:
the ratio of growth can be calculated by median in 2010/median in 2009
28.2/28.1 = 282/281
in x years the median age = 28.1 * (282/281)^x
in 2019 (after 10 years) = 28.1 * (282/281)^10 = 29.1161671591
Answer: 29.2 in.
Step-by-step explanation:
The general exponential function is given in the form:
[tex]f(x)=Ab^x[/tex], hwre A is the initial value , b is the growth factor and x is the time period.
Since, the growth factor is the ratio of the consecutive terms.
Therefore, the growth factor of the median age will be :
[tex]b=\dfrac{28.2}{28.1}=1.003558\approx1.004[/tex]
Take 28.1 as initial value , then the number of years from 2009 to 2019= 10 years
i.e. A = 28.1 , x=10 and b = 1.004
Then, the median age for men in 2019 will be :-
[tex]f(10)=28.1(1.004)^{10}\\\\\Rightarrow\ f(10)=29.2444493259\approx29.2\ in.[/tex]
Hence, the the median age for men in 2019 = 29.2
