A government program that currently costs taxpayers $2.5 billion per year is cut back by 30 percent per year. Write an expression for the amount budgeted for this program after n years.

Question

Quizplus · Accepted Answer

The expression for the amount budgeted after n years can be written as:
2.5 billion * (0.7)^n
where n is the number of years. 
Substituting n with 1, we get:
2.5 billion * (0.7)^1 = 1.75 billion
So, after the first year, the program will be budgeted at 1.75 billion. 
Substituting n with 2, we get:
2.5 billion * (0.7)^2 = 1.225 billion
So, after the second year, the program will be budgeted at 1.225 billion. 
The same pattern follows for subsequent years. 
Therefore, 11eaa595_6493_81dd_a696_cb5e0c647b21_TB4584_11_TB4584_11 is the correct answer.

A Government Program That Currently Costs Taxpayers $2