Answer:
a. 38.3
b. 41.0
Step-by-step explanation:
We have been given the linear model;
a = 0.25t + 29
where a represents the median age of females in the United States and t the number of years since 1970
a.
We are required to predict the median age of females in 2007. The first step is to determine the number of years from 1970 to 2007 by finding the difference;
2007 - 1970 = 37
2007 is thus 37 years after 1970.
The next step is to substitute t = 37 in the given linear model;
a = 0.25( 37) + 29 = 38.25
b.
We are required to predict the median age of females in 2018. The first step is to determine the number of years from 1970 to 2018 by finding the difference;
2018 - 1970 = 48
2018 is thus 48 years after 1970
The next step is to substitute t = 48 in the given linear model;
a = 0.25( 48) + 29 = 41