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
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}
Solution
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
Extract the values of \( c \) and \( f(c) \) from the table.
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:
\[
\boxed{(1, 1), (2, 4), (3, 9), (4, 16), (5, 25)}
\]