10
QuizMultiple Choice

Combining Functions

Question 10 • 26MATH_Recovery_Alg1B22

Mario invests $1,500 in a savings account that earns 2% interest a year. He also plans to set aside $50 cash a month.x = number of yearsSavings account: f(x) = 1500(1.02)xCash savings: g(x) = 50(12x)Which function represents the total amount Mario will save over x years?

Answer
A
2100(1.02)x
B
1500(1.02)x + 600x
C
500(1.02)x – 600x
D
2100x

Explanation

The total is the sum of the savings account and the cash savings. The account grows to 1500(1.02)^x, and saving $50 each month adds $50 × 12 × x = $600x over x years. Therefore, the total is 1500(1.02)^x + 600x, which is choice B.

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