1. **Problem statement:** A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let $G$ be the dollar cost of parking for $t$ hours. We need to complete the table for given $t$ values. 2. **Understanding the cost function $G(t)$:** - For $0 < t \leq 1$, $G(t) = 5$ - For $1 < t \leq 2$, $G(t) = 10$ - For $t > 2$, $G(t) = 12$ - For $t=0$, $G(t) = 0$ since no parking time means no cost. 3. **Complete the table:** - $t=0 \Rightarrow G=0$ - $t=\frac{1}{2} \leq 1 \Rightarrow G=5$ - $t=1 \Rightarrow G=5$ - $t=1\frac{3}{4} = 1.75 \leq 2 \Rightarrow G=10$ - $t=2 \Rightarrow G=10$ - $t=5 > 2 \Rightarrow G=12$ 4. **Final table:** | $t$ (hours) | $G$ (dollars) | |-------------|---------------| | 0 | 0 | | 0.5 | 5 | | 1 | 5 | | 1.75 | 10 | | 2 | 10 | | 5 | 12 | 5. **Summary:** The cost function $G(t)$ is a step function with values changing at $t=1$ and $t=2$ hours. --- **Answer:** $t=0 \Rightarrow G=0$ $t=\frac{1}{2} \Rightarrow G=5$ $t=1 \Rightarrow G=5$ $t=1\frac{3}{4} \Rightarrow G=10$ $t=2 \Rightarrow G=10$ $t=5 \Rightarrow G=12$