6

Set 17: Exponential Functions (Advanced)

Explanation

Answer: A

Which equation represents a value that starts at 5 and triples every minute?

A.

y=5(3)ty = 5(3)^t

✓ Correct
B.

y=3(5)ty = 3(5)^t

C.

y=5(1/3)ty = 5(1/3)^t

D.

y=5+3ty = 5 + 3t

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Tripling means b=3b=3. 1. Initial: a=5a=5. 2. Factor: b=3b=3. 3. Equation: y=5(3)ty = 5(3)^t. Strategic Tip: "Triples" ×3\to \times 3. Choice B is incorrect because it swaps aa and bb.

Key Steps:

The correct answer is y=5(3)ty = 5(3)^t

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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