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The All-Clean Laundry Company washes towels for a nearby hotel. The function f(x)f(x) gives the number of loads required when there are xx bins of towels to be washed.\newlineWhat does f(9)>12f(9) > 12 tell you?\newlineChoices:\newline(A)It takes more than 99 loads to wash 1212 bins of towels.\newline(B)It takes more than 1212 loads to wash 99 bins of towels.

Full solution

Q. The All-Clean Laundry Company washes towels for a nearby hotel. The function f(x)f(x) gives the number of loads required when there are xx bins of towels to be washed.\newlineWhat does f(9)>12f(9) > 12 tell you?\newlineChoices:\newline(A)It takes more than 99 loads to wash 1212 bins of towels.\newline(B)It takes more than 1212 loads to wash 99 bins of towels.
  1. Understand function f(x)f(x): Understand the function f(x)f(x) and the inequality f(9)>12f(9) > 12. The function f(x)f(x) represents the number of loads required to wash xx bins of towels. The inequality f(9)>12f(9) > 12 tells us that when there are 99 bins of towels, more than 1212 loads are required to wash them.
  2. Interpret inequality in context: Interpret the inequality in the context of the problem.\newlineSince f(x)f(x) is the number of loads for xx bins, f(9)f(9) is the number of loads for 99 bins. The inequality f(9)>12f(9) > 12 means that the number of loads needed for 99 bins is greater than 1212.
  3. Match correct interpretation: Match the correct interpretation with the given choices.\newlineThe correct interpretation of f(9)>12f(9) > 12 is that it takes more than 1212 loads to wash 99 bins of towels, which corresponds to choice (B).

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