3
QuizMultiple Choice

Exponential Functions

Question 3 • EAP-Algebra Functions and Data Analysis B

Every year, a lake becomes more polluted, and 2% fewer organisms can live in it. If in 2010 there are one million organisms, determine the number of organisms in the lake 5 years later. Let t = 0 represent the year 2010.

Answer
A
922,368 organisms remaining
B
941,192 organisms remaining
C
903,921 organisms remaining
D
960,400 organisms remaining

Explanation

A 2% decrease each year means 98% of the organisms remain each year, so multiply by 0.98 for each of the 5 years: 1,000,000 × 0.98⁵ ≈ 903,921. The lake will have about 903,921 organisms, which is choice C.

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