Set 8: Exponential Functions

Explanation

Answer: A

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

$y = 10(3)^x$

✓ Correct

$y = 3(10)^x$

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

$y = 10 + 3x$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Tripling means $b=3$ . 1. Initial: Starts at 10, so $a=10$ . 2. Factor: Triples means multiplying by 3, so $b=3$ . 3. Equation: $y = 10(3)^x$ . 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 because $1 /3$ is decay.

Key Steps:

•

The correct answer is $y = 10(3)^x$

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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