Answer:
a) The predicted per capita health expenditures for 2018 is $11943.5.
b) After 2018, it will take 16 years for the 2018 expenditures to double
Step-by-step explanation:
The total national health expenditures per capita, in dollars, is given by the following equation:
In which t is the number of years after 2005.
a. Find the predicted per capita health expenditures for 2018.
2018 is 13 years after 2005, so this is H(13).
The predicted per capita health expenditures for 2018 is $11943.5.
b. According to the model, how long will it take the 2018 expenditures to double?
First we find how many years after 2005, in which t is found when H(t) = 2*11943.5.
So
Applying ln to both sides
It will take 29 years after 2005 = 29-13 = 16 years after 2018.
After 2018, it will take 16 years for the 2018 expenditures to double