32
practice examMultiple Choice

Practice Exam

Question 32 • Mathematics III

The number of bacteria in a sample after x days is represented using the equation b is equal to 50 comma 000 times 1 point 0 5 raised to the negative x power By what approximate percent does the population change per day?

Answer
A
4 point 8 percent decrease
B
95 point 2 percent decrease
C
105 point 0 percent increase
D
5 point 0 percent increase

Explanation

The daily multiplier is 1.05 raised to the power −1, which is 1 ÷ 1.05 ≈ 0.952. This means about 95.2% of the population remains each day, so the daily decrease is 100% − 95.2% = 4.8%. The population changes by approximately a 4.8 percent decrease, choice A.

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