1. **State the problem:** We need to find the total cost $C$ of producing $p$ phones in a day, given that each phone costs 50 dollars to produce and there is a fixed daily cost of 200 dollars.
2. **Understand the costs:**
- Variable cost per phone = 50 dollars
- Fixed daily cost = 200 dollars
3. **Calculate total cost for different values of $p$:**
- For $p=0$: $C = 200 + 50 \times 0 = 200$
- For $p=1$: $C = 200 + 50 \times 1 = 250$
- For $p=2$: $C = 200 + 50 \times 2 = 300$
- For $p=3$: $C = 200 + 50 \times 3 = 350$
4. **Make the table:**
| Number of Phones Manufactured ($p$) | Total Cost to Manufacture Phones ($C$) |
|-------------------------------------|---------------------------------------|
| 0 | 200 |
| 1 | 250 |
| 2 | 300 |
| 3 | 350 |
5. **Write the equation:**
The total cost $C$ in terms of $p$ is:
$$C = 200 + 50p$$
This equation shows that the total cost is the fixed cost plus 50 dollars for each phone produced.
Phone Cost
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