Set 3: Linear Functions (Advanced)

Explanation

Answer: A

A store sells pens for $1.50 and notebooks for $3. Total sales were $150. Which equation models this situation?

$1.5x + 3y = 150$

✓ Correct

$3x + 1.5y = 150$

$y = 1.5x + 150$

$x + y = 150$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Standard form for revenue. 1. Pens: $1.5x$ . 2. Notebooks: $3y$ . 3. Total: $150$ . 4. Equation: $1.5x + 3 y = 150$ . Strategic Tip: Match the price to the item variable. Choice B is incorrect because prices are swapped. Choice C is incorrect because slope-intercept form implies rate of change. Choice D is incorrect because ignores prices.

Key Steps:

•

The correct answer is 1. $5x + 3y = 150$

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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