This exercise is intended to challenge your ability to inter

This exercise is intended to challenge your ability to interpret the meaning of functions in words.

In March 2006, the Bureau for Economic Analysis (BEA) issued a press release detailing per capita income rankings for the states. An excerpt from the report is provided here.

Connecticut led the nation with a per capita income . . . 38 percent above the national average. Louisiana\'s per capita income was . . . 28 percent below the national average . . .†

Write the equation of a function that relates the per capita income of Connecticut, C, to the per capita income of Louisiana, L.

C(L) = __________

Solution

Sol: Let the National average be x

Connecticut per capita income is 38% above national average=C= x+.38x= 1.38x---> 1

Louisiana\'s per capita income is 28% below national average=L= x-.28x=.72x---> 2

equation 1 divided 2

C/L=1.38x/.72x => C/L=1.9166667 => C=1.9166667 * L

Therefore C(L)= 1.9166667*L