A community library charges a fixed fee of R12 and R2 per page copied. In 𝐶 = 12 + 2𝑝, which interpretation is correct? A. Pages copied and total cost are both independent because either value can be placed first in an equation. B. Pages copied are the input; total cost is the output because cost depends on the number of pages. C. Total cost is the input; pages copied are the output because the number of pages depends on the payment. D. The fixed fee is the input; the rate per page is the output because both quantities appear in the rule. Handwritten evidence: Name both quantities and explain the direction of dependence.

Mathematics

ScanSolve AI Answer

The correct interpretation is that pages copied are the input and total cost is the output because the total cost depends on the number of pages copied.

Explanation of quantities and dependence:

  • Quantity 1: Pages copied (pp)
  • Quantity 2: Total cost (CC)
  • Direction of dependence: The total cost (CC) is the dependent variable, and the number of pages copied (pp) is the independent variable. This means that the total cost incurred by the library user depends on how many pages they copy. The more pages copied, the higher the total cost.
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