4

Set 17: Systems of Equations

Explanation

Answer: C

A startup has fixed costs of $2,000/month and variable costs of $50 per sale. Revenue is $90 per sale. How many sales are needed monthly to break even?

A.

40 sales

B.

45 sales

C.

50 sales

✓ Correct
D.

55 sales

Detailed Explanation

Choice C is correct. Choice C is the correct answer. Let xx = number of sales. Break-even: Revenue = Total Cost $$$90x = 2000 + 50 x40x = 2000$x = 50 Solution: 50 sales Verification: Revenue = 90(50)=450090(50) = 4500, Cost = 2000+50(50)=45002000+ 50(50) = 4500 ✓ Strategic Tip: Break-even: Revenue = Fixed + Variable Costs.

Key Steps:

The correct answer is 50 sales

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B 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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