10
QuizMultiple Choice

Population Growth

Question 10 • 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 decay factor of this data?

Answer
A
Decay factor is 0.95
B
Decay factor is -1.5
C
Decay factor is 14.25
D
Decay factor is 0.05

Explanation

A decay factor is the ratio of each day’s amount to the previous day’s amount. From day 0 to day 1, the bacteria amount changes from 30 grams to 28.5 grams, and 28.5 ÷ 30 = 0.95. The later amounts also follow this ratio, so the decay factor is 0.95.

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