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Joy is the president of her school's engineering club, and she is ordering shirts for her club members. The company she's buying from charges f(x)f(x) dollars per shirt for an order of xx shirts.\newlineWhat does f(25) < 10 tell you?\newlineChoices:\newline(A) The company charges under $10\$10 per shirt for a 2525-shirt order.\newline(B) The company charges $25\$25 per shirt for an order with fewer than 1010 shirts.

Full solution

Q. Joy is the president of her school's engineering club, and she is ordering shirts for her club members. The company she's buying from charges f(x)f(x) dollars per shirt for an order of xx shirts.\newlineWhat does f(25)<10f(25) < 10 tell you?\newlineChoices:\newline(A) The company charges under $10\$10 per shirt for a 2525-shirt order.\newline(B) The company charges $25\$25 per shirt for an order with fewer than 1010 shirts.
  1. Understand function f(x)f(x): Understand the function f(x)f(x) and what it represents.\newlineThe function f(x)f(x) represents the cost in dollars per shirt for an order of xx shirts. The variable xx represents the number of shirts in the order.
  2. Interpret inequality f(25) < 10: Interpret the inequality f(25) < 10. The inequality f(25) < 10 tells us that the cost per shirt for an order of 2525 shirts is less than $10\$10.
  3. Match interpretation with choices: Match the interpretation of the inequality with the given choices.\newlineThe interpretation from Step 22 corresponds to choice (A), which states that the company charges under $10\$10 per shirt for a 2525-shirt order. Choice (B) is incorrect because it suggests a different scenario not described by the inequality f(25) < 10.

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