Questions: Choose the correct ordered pairs represented in the table. The following table gives per unit costs for furniture and shows selling prices. The numbers represent hundreds of dollars. c 1 2 3 4 5 f(c) 1 4 9 16 25

Choose the correct ordered pairs represented in the table. The following table gives per unit costs for furniture and shows selling prices. The numbers represent hundreds of dollars.

c  1  2  3  4  5
f(c)  1  4  9  16  25
Transcript text: Choose the correct ordered pairs represented in the table. The following table gives per unit costs for furniture and shows selling prices. The numbers represent hundreds of dollars. \begin{tabular}{|c|l|l|l|l|l|} \hline$c$ & 1 & 2 & 3 & 4 & 5 \\ \hline$f(c)$ & 1 & 4 & 9 & 16 & 25 \\ \hline \end{tabular}
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Solution

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Solution Steps

To solve this problem, we need to identify the ordered pairs from the given table. The table provides values for \( c \) and \( f(c) \). Each ordered pair is in the form \((c, f(c))\).

Solution Approach
  1. Extract the values of \( c \) and \( f(c) \) from the table.
  2. Form ordered pairs \((c, f(c))\) for each corresponding value.
Step 1: Extract Values

From the given table, we have the following values for \( c \) and \( f(c) \):

  • \( c = [1, 2, 3, 4, 5] \)
  • \( f(c) = [1, 4, 9, 16, 25] \)
Step 2: Form Ordered Pairs

We can form the ordered pairs \((c, f(c))\) as follows:

  • For \( c = 1 \), \( f(1) = 1 \) → Ordered pair: \( (1, 1) \)
  • For \( c = 2 \), \( f(2) = 4 \) → Ordered pair: \( (2, 4) \)
  • For \( c = 3 \), \( f(3) = 9 \) → Ordered pair: \( (3, 9) \)
  • For \( c = 4 \), \( f(4) = 16 \) → Ordered pair: \( (4, 16) \)
  • For \( c = 5 \), \( f(5) = 25 \) → Ordered pair: \( (5, 25) \)

Thus, the complete set of ordered pairs is: \[ (1, 1), (2, 4), (3, 9), (4, 16), (5, 25) \]

Final Answer

The ordered pairs represented in the table are: \[ \boxed{(1, 1), (2, 4), (3, 9), (4, 16), (5, 25)} \]

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