Chapter 4.2, Problem 19E

Food Assistance The amount of money the U.S. government spent on food and nutrition assistance (in billions of dollars) can be approximated by the function

$f\left(x\right)=\frac{120.9}{1+3.42e^{-.23x}},$

where $x=0$ corresponds to the year 2000. (Data from: U.S. Office of Management and Budget.)

Find the amount spent in 2000 and 2015.

Use the graph to determine the first full year in which expenditurefor food and nutrition assistance was higher than $100 billion.