3
algebra

A subscription box service costs $25 per month. If Mia has a $200 budget for 1 year, which inequality represents the maximum number of months mm she can subscribe?

A

25m20025m \leq 200

B

25m20025m \geq 200

C

m+25200m + 25 \leq 200

D

200m25200m \leq 25

Correct Answer: A

Choice A is the correct answer. Monthly subscription problems model repeated costs as multiplication.

  1. Cost structure: $25 per month for mm months = 25m25m
  2. Budget constraint: Total cannot exceed $200
  3. Inequality: 25m20025m \leq 200

?�� Strategic Tip: "Per month" or "per unit" costs multiply the rate by the number of units.

Choice B is incorrect because200\geq 200 would mean spending at least $200, exceeding the budget. Choice C is incorrect because it adds mm and 25, treating months and dollars as if they combine additively. Choice D is incorrect because it reverses the coefficients, multiplying budget by months instead of rate by months.