5
algebra

Company A charges $50 + $20/hr. Company B charges $10 + $30/hr. When are the costs equal?

A

44 hours

B

22 hours

C

33 hours

D

55 hours

Correct Answer: A

Choice A is the correct answer. Set equations equal.

  1. Eq A: C=20h+50C = 20h + 50.
  2. Eq B: C=30h+10C = 30h + 10.
  3. Equate: 20h+50=30h+1020h + 50 = 30h + 10.
  4. Solve: Subtract 20h50=10h+1020h \rightarrow 50 = 10h + 10. Subtract 1040=10h10 \rightarrow 40 = 10h. Divide by 10 h=4\rightarrow h = 4.

💡 Strategic Tip: The intersection point is the break-even point.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.