Set 14: Linear Functions (Intermediate)

Explanation

Answer: A

Which equation models a line that increases by 10% of its initial value of 50 for every unit of x?

$y = 5x + 50$

✓ Correct

$y = 0.10x + 50$

$y = 50x + 5$

$y = 1.1x + 50$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Calculate slope. 1. Initial: 50. 2. Increase: $10\%$ of $50= 5$ . 3. Rate: 5 per unit x. 4. Equation: $y = 5 x + 50$ . Strategic Tip: Don't confuse percent rate (exponential) with fixed amount based on percent of start (linear). Choice B is incorrect because uses 0.10 directly. Choice C is incorrect because swaps. Choice D is incorrect because exponential-ish.

Key Steps:

•

The correct answer is $y = 5x + 50$

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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