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To solve this problem, we will first analyze the information given.

### Information:
- It took the plane 1.5 hours to fly 915 miles.
- The speed is constant between Denver and Chicago.

We can calculate the speed of the plane using the distance formula:  
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{915 \text{ miles}}{1.5 \text{ hours}} = 610 \text{ miles per hour}
\]

### Completing the Table:
Now that we know the speed is 610 miles per hour, we can fill in the missing values for different time intervals in the table.  

| Time (hours) | Distance (miles) |
|--------------|------------------|
| 1            | 610              |
| 1.5          | 915              |
| 2            | \(610 \times 2 = 1220\) |
| 2.5          | \(610 \times 2.5 = 1525\) |
| t            | \(610 \times t\) |

### Equation relating distance and time:
Let \(d\) represent the distance and \(t\) represent the time in hours. Since the speed is constant, the equation that relates \(d\) and \(t\) is:
\[
d = 610 \times t
\]

### How far will the plane fly in 10 hours?
Using the equation \(d = 610 \times t\), for \(t = 10\) hours:
\[
d = 610 \times 10 = 6100 \text{ miles}
\]

If you have any questions or want more details, feel free to ask!

Here are 5 follow-up questions to expand on the topic:
1. How would the equation change if the plane flew at a different speed?
2. How would you calculate the total time taken for a 3000-mile journey at this speed?
3. What if the plane encountered a headwind and the speed decreased? How would you adjust the calculations?
4. Can you graph the relationship between time and distance based on the equation \(d = 610t\)?
5. How long would it take for the plane to cover 9150 miles at this speed?

**Tip:** In word problems involving constant speed, use the formula \( \text{Distance} = \text{Speed} \times \text{Time} \) to relate the variables directly.

A plane flew at a constant speed between Denver and Chicago. It took the plane 1.5 hours to fly 915 miles. Complete the table and find the equation that relates distance and time.

Explore how to calculate distance based on time and speed using the equation Distance = Speed × Time. The problem involves finding the speed of a plane that flies from Denver to Chicago, and completing a table of distances for various time intervals. Perfect for students in Grades 6-8.

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