8
QuizMultiple Choice

Population Growth

Question 8 • Modern Math KHS

A 30-gram sample of bacteria has some unknown disease that is killing the bacteria. The amount of bacteria is measured each day and the results are shown in the table. Number of Days (d)Amount of Bacteria in Grams (A)030128.5227.075325.72424.44523.21622.05What is the amount of bacteria on the 8th day?

Answer
A
On the eighth day, the bacteria is 1.72 grams
B
On the eighth day, the bacteria is 19.90 grams
C
On the eighth day, the bacteria is 6.23 grams
D
On the eighth day, the bacteria is 6271.89 grams

Explanation

The amount decreases by 5% each day: for example, 28.5 ÷ 30 = 0.95. So each day, multiply the previous amount by 0.95. Starting with 30 grams, after 8 days the amount is 30 × 0.95⁸ ≈ 19.90 grams, matching the choice “On the eighth day, the bacteria is 19.90 grams.”

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