7
algebra

A freelance designer charges $80 per hour but pays $15 per hour in software subscriptions. If they work 8 hours and need to net at least $520, which statement is true?

A

(8015)×8520(80-15) \times 8 \geq 520 is correct

B

80×815×852080 \times 8 - 15 \times 8 \geq 520 is correct

C

They will exactly meet their goal

D

Both A and B are correct

Correct Answer: D

Choice D is the correct answer. Multiple equivalent forms can represent the same constraint.

  1. Choice A: Net rate is (8015)=65(80-15)=65 per hour, times 8 hours: 65×8=52065 \times 8 = 520 ??n2. Choice B: Total revenue minus total costs: 80(8)15(8)=640120=52080(8) - 15(8) = 640 - 120 = 520 ??n3. Choice C: This is also correct since 520520520 \geq 520, but D is more complete
  2. Both A and B equal 520, satisfying the 520\geq 520 requirement

?�� Strategic Tip: Net earnings equal gross income minus expenses, calculated either as (rate per unit) × (quantity) or total revenue - total costs.

Choice A alone is incomplete because while true, choice D recognizes both forms are valid. Choice B alone is incomplete because while true, choice D recognizes both forms are valid. Choice C is incomplete as the only answer because while they do meet the goal exactly, the question asks which statement is true, making D the best answer.