4
QuizMultiple Choice

Exponential Growth Functions

Question 4 • Adv. Algebra II S2 Original

A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year, the poster is worth $20.70. Which equation can be used to find the value, y, after x years? (Round money values to the nearest penny.)

Answer
A
y = 18(1.15)x
B
y = 18(0.15)x
C
y = 20.7(1.15)x
D
y = 20.7(0.15)x

Explanation

For a value that increases by 15% each year, multiply by 1 + 0.15 = 1.15 for each year. Starting from $18, the value after x years is y = 18(1.15)^x. After 1 year, this gives $18 × 1.15 = $20.70, matching the information in the question.

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