Set 16: Linear Functions

Explanation

Answer: A

A bakery sells cookies ( $x$ ) for $ $2and muffins ($$y$ ) for $3. They made $60 total. Which equation models this?

$2x + 3y = 60$

✓ Correct

$3x + 2y = 60$

$y = 2x + 60$

$x + y = 60$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Standard form for combinations. 1. Revenue from cookies: $2x$ . 2. Revenue from muffins: $3y$ . 3. Total: Sum must equal 60. 4. Equation: $2x + 3 y = 60$ . Strategic Tip: When you have two rates contributing to a fixed total, use Standard Form $Ax + By = C$ . Choice B is incorrect because it swaps the prices. Choice C is incorrect because it's slope-intercept form (implies rate of change). Choice D is incorrect because it ignores prices.

Key Steps:

•

The correct answer is $2x + 3y = 60$

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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