2
algebra

If you send 300 texts, which plan is cheaper? (Plan A: $30 + $0.05/text, Plan B: $10 + $0.15/text)

A

Plan A

B

Plan B

C

They are equal

D

Cannot determine

Correct Answer: A

Choice A is the correct answer. Evaluate at x=300x=300.

  1. Plan A: 30+0.05(300)=30+15=4530 + 0.05(300) = 30 + 15 = 45.
  2. Plan B: 10+0.15(300)=10+45=5510 + 0.15(300) = 10 + 45 = 55.
  3. Compare: 45<5545 < 55. Plan A is cheaper.

💡 Strategic Tip: Since 300 is greater than the break-even point (200), the plan with the lower variable rate (Plan A) will be cheaper.

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

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Linear Functions Set 98