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advanced-mathA radioactive isotope decays such that its mass is halved every unit of time. If the initial mass is 64g, which function models the mass ?
A
B
C
D
Correct Answer: B
Choice B is the correct answer. 'Halved' means the factor is or 0.5.
- Identify Factor: Halving means multiplying by 0.5 each step. So .
- Identify Initial: Initial mass is 64, so .
- Form Equation: .
💡 Strategic Tip: Half-life problems always have a base of or (unless written with ).
Choice A is incorrect because base 2 means doubling. Choice C is incorrect because initial mass is 64, not 32. Choice D is incorrect because base 1.5 means growing by 50%.