Mario invests 1 dollars comma 500 in a savings account that earns 2 percent interest a year. He also plans to set aside 50 dollars cash a month. x is equal to number of years Savings account: f of x is equal to 1500 times 1 point 0 2 to the x th power Cash savings: g of x is equal to 50 times 12 x Which function represents the total amount Mario will save over x years?
Answer
A
1500 times 1 point 0 2 to the x th power plus 600 x
B
2100 x
C
2100 times 1 point 0 2 to the x th power
D
500 times 1 point 0 2 to the x th power minus 600 x
Explanation
The total savings is the sum of the savings account and the cash savings. The account grows to 1500(1.02)^x, while setting aside $50 each month adds 50 × 12 × x = 600x dollars over x years. So the total is 1500(1.02)^x + 600x, choice A.
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