1. **State the problem:** Avery has $30 to spend on cheeseburgers and seltzer. The budget constraint shows all combinations of cheeseburgers and seltzer he can buy.
2. **Identify prices from the diagram:** The budget constraint intercepts are 20 cheeseburgers (when 0 seltzer) and 30 cans of seltzer (when 0 cheeseburgers).
3. **Calculate prices:**
- Price of cheeseburgers $p_c = \frac{30}{20} = 1.5$ per cheeseburger.
- Price of seltzer $p_s = \frac{30}{30} = 1$ per can.
4. **Budget constraint formula:**
$$p_c \times C + p_s \times S = 30$$
where $C$ is cheeseburgers and $S$ is seltzer.
5. **Effect of seltzer price increase:**
If $p_s$ increases, the maximum cans of seltzer Avery can buy decreases because $\frac{30}{p_s}$ is smaller.
6. **Adjusting the budget line:**
- The cheeseburger intercept remains at 20 (since $p_c$ and income unchanged).
- The seltzer intercept moves left to $\frac{30}{p_s^{new}}$ cans.
7. **Summary:**
The budget line pivots inward on the seltzer axis, showing fewer cans can be bought for the same income.
**Final answer:**
If the price of seltzer increases, the budget constraint rotates inward from the seltzer intercept, reducing the maximum seltzer cans purchasable, while the cheeseburger intercept remains at 20.
Budget Constraint 620011
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