1. **State the problem:** We have data from five teenagers about hours babysat (x) and amount earned (y). We need to represent this relation using ordered pairs, a table, a mapping, and find domain and range.
2. **Write the set of ordered pairs:** Each ordered pair is $(x,y)$ where $x$ is hours babysat and $y$ is amount earned.
Given points: $(3,40)$ Lee, $(4,35)$ Chantel, $(3,30)$ Reynaldo, $(1,20)$ Eliza, $(1,10)$ Jordan.
So the set is $$\{(3,40),(4,35),(3,30),(1,20),(1,10)\}$$
3. **Complete the table and mapping:**
Table:
$$\begin{array}{c|c}
x & y \\\hline
1 & 10 \\
1 & 20 \\
3 & 30 \\
3 & 40 \\
4 & 35
\end{array}$$
Mapping diagram pairs each domain element to its range values:
- $1 \to 10, 20$
- $3 \to 30, 40$
- $4 \to 35$
4. **Write domain and range:**
Domain is the set of all $x$ values:
$$\{1,3,4\}$$
Range is the set of all $y$ values:
$$\{10,20,30,35,40\}$$
5. **Interpret from graph who babysat same hours:**
Points with same $x$ coordinate mean same hours babysat.
Here, Lee and Reynaldo both have $x=3$ hours.
Eliza and Jordan both have $x=1$ hour.
Chantel has $x=4$ hours alone.
This shows which teenagers babysat the same number of hours.
Final answer:
- Ordered pairs: $\{(3,40),(4,35),(3,30),(1,20),(1,10)\}$
- Domain: $\{1,3,4\}$
- Range: $\{10,20,30,35,40\}$
- Same hours babysat: Lee & Reynaldo (3 hours), Eliza & Jordan (1 hour)
Relation Representation E4E777
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