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advanced-mathA population of bacteria is modeled by the function , where is time in hours. What is the decay factor?
A
500
B
0.85
C
0.15
D
15
Correct Answer: B
Choice B is the correct answer. The decay factor is the base of the exponent.
- Identify: In the form , the base represents the growth or decay factor.
- Locate: In , the base is 0.85.
- Interpret: Since , it represents decay, and 0.85 is the decay factor.
💡 Strategic Tip: The factor is what you multiply by each step. If , the quantity decreases.
Choice A is incorrect because 500 is the initial population. Choice C is incorrect because 0.15 represents the decay rate ( or 15%), not the factor. Choice D is incorrect because 15 is the percentage rate, not the factor.