1. **Problem:** A local print shop charges 0.10 per page to print black and white documents with no flat rate. Find the algebraic model and complete the table. 2. **Formula:** Cost $C$ is proportional to pages $p$ printed, so $$C = 0.10p$$ 3. **Table calculation:** - For $p=0$, $C=0.10 \times 0 = 0$ - For $p=10$, $C=0.10 \times 10 = 1$ - For $p=20$, $C=0.10 \times 20 = 2$ - For $p=30$, $C=0.10 \times 30 = 3$ - For $p=40$, $C=0.10 \times 40 = 4$ - For $p=50$, $C=0.10 \times 50 = 5$ 4. **Graph shape:** A straight line through the origin with slope 0.10 rising to the top-right. 1. **Problem:** Bella’s Cell Plan includes a monthly base fee of 10 plus 0.20 per minute of usage. Find the algebraic model and complete the table. 2. **Formula:** Total cost $C$ is base fee plus usage cost: $$C = 10 + 0.20m$$ where $m$ is minutes used. 3. **Table calculation:** - For $m=0$, $C=10 + 0.20 \times 0 = 10$ - For $m=10$, $C=10 + 0.20 \times 10 = 12$ - For $m=20$, $C=10 + 0.20 \times 20 = 14$ - For $m=30$, $C=10 + 0.20 \times 30 = 16$ - For $m=40$, $C=10 + 0.20 \times 40 = 18$ - For $m=50$, $C=10 + 0.20 \times 50 = 20$ 4. **Graph shape:** A straight line with y-intercept 10 and positive slope 0.20 rising in bottom-right. --- **Final answers:** **1. Print shop cost model:** $$C = 0.10p$$ | p (pages) | C (cost) | |-----------|----------| | 0 | 0 | | 10 | 1 | | 20 | 2 | | 30 | 3 | | 40 | 4 | | 50 | 5 | **2. Bella’s Cell Plan cost model:** $$C = 10 + 0.20m$$ | m (minutes) | C (cost) | |-------------|----------| | 0 | 10 | | 10 | 12 | | 20 | 14 | | 30 | 16 | | 40 | 18 | | 50 | 20 |