A government program that currently costs taxpayers $3.5 billion per year is cut back by 40 percent per year.Write an expression for the amount budgeted for this program after n years.

Question

A government program that currently costs taxpayers $3.5 billion per year is cut back by 40 percent per year.Write an expression for the amount budgeted for this program after n years. ​

Quizplus · Accepted Answer

If the program is cut back by 40% per year, then each year the budget for the program will be 60% of the previous year's budget. 
So, the expression for the amount budgeted for this program after n years is:
(0.6)^n * $3.5 billion
Simplifying this expression gives:
$3.5 billion * (0.6)^n
Therefore, the correct choice is B.

A Government Program That Currently Costs Taxpayers $3