1
algebra

Plan A costs $30/month + $0.05/text. Plan B costs $10/month + $0.15/text. For what number of texts are the costs the same?

A

200200

B

100100

C

300300

D

150150

Correct Answer: A

Choice A is the correct answer. Equate costs.

  1. Plan A: 30+0.05x30 + 0.05x.
  2. Plan B: 10+0.15x10 + 0.15x.
  3. Equate: 30+0.05x=10+0.15x30 + 0.05x = 10 + 0.15x.
  4. Solve: Subtract 10→20=0.10x10 \rightarrow 20 = 0.10x. Divide by 0.10→x=2000.10 \rightarrow x = 200.

💡 Strategic Tip: The difference in base cost divided by difference in rate gives the break-even point.

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

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Linear Functions Set 98