The median age for a first marriage in the united states for men was 28.1 in 2009 and 28.2 in 2010. use an exponential model to predict the median age for men in 2019, where x is the number of years since 2009.

29.2 in.

Step-by-step explanation:

The general exponential function is given in the form:

, 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 :

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 :-

Hence, the the median age for men in 2019 = 29.2