14
QuizMultiple Choice

Using Exponential Functions — Quiz

Question 14 • Algebraic Reasoning

If 5000 dollars is invested at an interest rate of 4 percent each year, what is the value of the investment in 5 years? Write an exponential function and solve.

Answer
A
y is equal to 5000 times 1 point 0 4 to the 5th power ; 6083 point 2 6 dollars
B
y is equal to 1 point 0 4 times 5000 to the 5th power ; 6830 point 2 6 dollars
C
y is equal to 5 times 5000 raised to the 1 point 0 4 power ; 35 dollars comma 147 point 8 5
D
y is equal to 5000 times 5 raised to the 1 point 0 4 power ; 26 dollars comma 662 point 3 7

Explanation

For annual interest, use the exponential growth formula y = P(1 + r)^t, where P = 5000, r = 0.04, and t = 5. Thus y = 5000(1.04)^5 ≈ 6083.26 dollars. The correct choice is A, which gives the function and value.

AI-written and checked against the verified answer.

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