1

Set 5: Linear Functions

Explanation

Answer: A

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

A.

Plan A

✓ Correct
B.

Plan B

C.

They are equal

D.

Cannot determine

Detailed Explanation

Choice A is correct. 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.

Key Steps:

The correct answer is Plan A

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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