Set 15: Exponential Functions (Intermediate)

Explanation

Answer: A

Which table can be modeled by $y = 3(4)^x$ ?

Table P:

$x$	$y$
0	3
1	12
2	48

Table Q:

$x$	$y$
0	4
1	12
2	36

Table P

✓ Correct

Table Q

Both tables

Neither table

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check if the data matches the equation. 1. Table P: $x=0$ : $3(4)^0=3$ ✓, $x=1$ : $3(4)^1=12$ ✓, $x=2$ : $3(4)^2=48$ ✓ 2. Table Q: $x=0$ : $3(4)^0=3 \neq 4$ ✗ 3. Conclusion: Only Table P matches. Strategic Tip: Always check the initial value first ( $x=0$ ) to quickly eliminate wrong tables. Choice B is incorrect because Table Q's initial value doesn't match. Choice C is incorrect because only one table matches. Choice D is incorrect because Table P matches.

Key Steps:

•

The correct answer is Table P

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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Set 15: Exponential Functions (Intermediate)

Detailed Explanation

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