18
QuizMultiple Choice

N/A — Exam

Question 18 • Algebraic Reasoning

If 7500 dollars is invested at an interest rate of 5 percent each year, what is the value of the investment in 4 years? Write an exponential function and solve.

Answer
A
y is equal to 7500 times 1 point 0 5 to the 4th power ; 9116 point 3 0 dollars
B
y is equal to 7500 times 4 raised to the 1 point 0 5 power ; 32 dollars comma 153 point 2 0
C
y is equal to 7500 times 1 point 0 5 to the negative 5 power ; 6170 point 2 7 dollars
D
y is equal to 4 times 1 point 0 5 to the 7500th power ; 7859 point 9 1 dollars

Explanation

For annual growth at 5%, multiply the starting amount by 1.05 for each year. The exponential function is y = 7500(1.05)^t, so after 4 years, y = 7500(1.05)^4 ≈ $9,116.30. This matches choice A, which gives the correct function and value.

AI-written and checked against the verified answer.

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