3
advanced-math

A quantity triples every year. If it starts at 10, write the function.

A

y=10(3)xy = 10(3)^x

B

y=3(10)xy = 3(10)^x

C

y=10(1/3)xy = 10(1/3)^x

D

y=10+3xy = 10 + 3x

Correct Answer: A

Choice A is the correct answer. Tripling means b=3b=3.

  1. Initial: Starts at 10, so a=10a=10.
  2. Factor: Triples means multiplying by 3, so b=3b=3.
  3. Equation: y=10(3)xy = 10(3)^x.

💡 Strategic Tip: "Triples" is a keyword for exponential growth with base 3.

Choice B is incorrect because it swaps start and factor. Choice C is incorrect because1/31/3 is decay.