Question

The following is an excerpt from a May 1, 2006, press release issued by the Bureau of Economic Analysis. [monthly] disposable personal income (DPI) increased $78.4 billion . . . in March [2006]† Use function notation to represent the disposable personal income, M, at the end of March 2006 as a function of disposable personal income, F, at the end of February 2006. (Both M and F are in billions of dollars.) M(F) =

Answer 1

M(F) = F + 78.4

Explanation:

* Lets explain how to solve the problem

- The monthly disposable personal income (DPI) increased

$78.4 billion in March 2006

- M is the disposable personal income at the end of March 2006

- M is a function of disposable personal income, F, at the end of

February 2006

∴ The function is M(F), where M(F) is the disposable personal income

at the end of March 2006 and F is the disposable personal income

at the end of February 2006

∵ The monthly disposable personal income (DPI) increased

$78.4 billion in March 2006

- That means the disposable personal income (DPI) in March is the

sum of the disposable personal income (DPI) in February and

$78.4 billion

∵ M and F both are in billions dollars

∵ M(F) in billions dollars

∴ M(F) = F + 78.4

# Remember : we don't have to put 78.4 × 10^9 because the three

terms of the function are in billion