10
QuizMultiple Choice

Exponential Growth Functions

Question 10 • Adv. Algebra II S2 Original

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6 days after inoculation?

Answer
A
y = 1,000(1.15)6; 2,313 bacteria
B
y = 1,000(1.15)7; 2,660 bacteria
C
y = 1,000(1.5)5; 7,594 bacteria
D
y = 1,000(1.5)6; 11,391 bacteria

Explanation

A 15% daily growth rate means the population is multiplied by 1.15 each day. After 6 days, the population is 1,000(1.15)^6, which is about 2,313 bacteria. Therefore, the correct choice is “y = 1,000(1.15)^6; 2,313 bacteria.”

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