10
algebra

A phone plan costs $30 per month plus $0.10 per text. Another plan costs $40 per month plus $0.05 per text. For how many texts are the costs equal?

A

100

B

200

C

50

D

500

Correct Answer: B

Choice Dhoice C is the correct answer.

  1. Equation: 0.10x+30=0.05x+400.10x + 30 = 0.05x + 40
  2. Subtract 0.05x: 0.05x+30=400.05x + 30 = 40
  3. Subtract 30: 0.05x=100.05x = 10
  4. Divide by 0.05: x=200x = 200
  5. Verify: 20+30=5020 + 30 = 50 and 10+40=5010 + 40 = 50 ✓

Choice Dhoice C is incorrect because calculation error.

Choice Dhoice D is incorrect because calculation error.

Choice Dhoice A is incorrect because calculation error.

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Linear Functions Set 19