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

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.