1
advanced-mathConsider the function . What are the initial value and the growth/decay factor?
A
Initial value: 80, Factor: 0.75 (Growth)
B
Initial value: 80, Factor: 0.75 (Decay)
C
Initial value: 0.75, Factor: 80 (Growth)
D
Initial value: 80, Factor: 0.25 (Decay)
Correct Answer: B
Choice B is the correct answer. Identify components in .
- Identify a: The coefficient is 80, so the initial value is 80.
- Identify b: The base is 0.75.
- Classify: Since , it represents decay.
💡 Strategic Tip: A decimal base like 0.75 means you are keeping 75% of the value, so it's shrinking.
Choice A is incorrect because 0.75 implies decay, not growth. Choice C is incorrect because it swaps and . Choice D is incorrect because 0.25 is the decay rate (25%), not the factor.