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This graph and table represent the production trade-off between phones and tablets that the Abbe Factory can produce using its resources. The line will show a linear relationship, meaning as more phones are produced, fewer tablets can be produced, and vice versa. This linear trend is based on the data provided: when all resources go toward phones, 100 phones can be produced, and when all resources go toward tablets, 50 tablets can be produced.

### Filling in the table:
- At 0 phones, the factory can produce 50 tablets.
- At 100 phones, 0 tablets can be produced.
- At 60 phones, 20 tablets can be produced.
- At 80 phones, 10 tablets can be produced.
  
This gives us the following data points for the table and graph:
| Phones Produced | Tablets Produced |
|-----------------|------------------|
| 0               | 50               |
| 20              | 40               |
| 60              | 20               |
| 80              | 10               |
| 100             | 0                |

#### The line represents:
The linear relationship between the number of phones and tablets that can be produced, given the factory's resources.

### Now, let's go through the analysis questions:

1. **How many tablets can Abbe produce at a level of 70 phones?**
   - Using the trend of the line, at 70 phones, the factory would be producing around 15 tablets (since between 60 phones and 80 phones, the decrease is by 5 tablets).

2. **How many phones can Abbe produce at a level of 35 tablets?**
   - By following the pattern, if 35 tablets are produced, the factory would likely be producing 10 phones (since the midpoint between 0 tablets and 50 tablets correlates with around 35).

3. **How many tablets would Abbe produce at a level of 22 phones?**
   - If 20 phones correspond to 40 tablets, then at 22 phones, the factory would likely produce just under 40 tablets (around 39 tablets).

4. **Is it possible to make 30 phones and 38 tablets?**
   - No, this is not possible. Based on the linear relationship, producing 30 phones would correspond to producing around 35 tablets, so 38 tablets would not be achievable at that level of phone production.

Would you like further details or clarification on any of these points?

### Related Questions:
1. What is the slope of the line representing phone and tablet production?
2. How does the slope of this line help predict the production trade-offs?
3. Can Abbe Factory optimize production to produce more of both items? Why or why not?
4. How would a shift in resource allocation affect the shape of this line?
5. What real-world factors might affect the accuracy of this linear relationship?

#### Tip:
When dealing with linear relationships, always check the slope, as it tells you how much one variable changes in relation to the other.

The Abbe Factory has a choice to make regarding the production of phones and tablets. If they allocate all resources to phones, they can produce 100 phones. If they allocate all resources to tablets, they can produce 50 tablets. The relationship between phones and tablets produced is linear. Complete the table, plot the graph, and answer related questions.

Explore the linear relationship between phone and tablet production at Abbe Factory. Learn how to complete the production table, plot the graph, and answer analysis questions about production trade-offs. Suitable for students in Grades 6-8.

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