1. **State the problem:**
Laura's total spending at Family Fun Zone depends on how many arcade games she plays. We want to find how much she paid for lunch (fixed cost) and how much she pays per game (variable cost).
2. **Identify the linear relationship:**
The total amount spent $T$ can be modeled as:
$$T = L + g \times p$$
where $L$ is the lunch cost, $g$ is the number of games played, and $p$ is the cost per game.
3. **Analyze the graph:**
- The line starts near $10 when $g=0$, so $L \approx 10$.
- When $g=40$, $T \approx 30$.
4. **Calculate the cost per game:**
Using points $(0,10)$ and $(40,30)$:
$$p = \frac{30 - 10}{40 - 0} = \frac{20}{40} = 0.5$$
5. **Interpretation:**
- Laura paid $10 for lunch.
- She pays $0.5 for every game she plays.
**Final statement:**
Laura paid 10 for lunch and will pay 0.5 for every game she plays.
Linear Spending
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