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It looks like the image shows two problems related to absolute value equations for calculating minimum and maximum times given certain distances and speeds. Here's a breakdown of the problems:

### Problem 25: \( 5 \, \text{mi/h} \)
The object is moving at \( 5 \, \text{mi/h} \), and the total distance is given as 10 miles, with a deviation of \( \pm 2.5 \) miles. We want to find the time range required to travel this distance.

1. **Minimum distance**: \( 10 - 2.5 = 7.5 \, \text{mi} \)
2. **Maximum distance**: \( 10 + 2.5 = 12.5 \, \text{mi} \)

To solve this:
- Minimum time: \( \frac{7.5}{5} = 1.5 \, \text{hours} \)
- Maximum time: \( \frac{12.5}{5} = 2.5 \, \text{hours} \)

So, the object will take between 1.5 hours and 2.5 hours to travel the distance.

### Problem 26: \( 10 \, \text{ft/s} \)
In this case, the object is moving at \( 10 \, \text{ft/s} \), and the total distance is given as 30 feet, with a deviation of \( \pm 3 \) feet.

1. **Minimum distance**: \( 30 - 3 = 27 \, \text{ft} \)
2. **Maximum distance**: \( 30 + 3 = 33 \, \text{ft} \)

To solve this:
- Minimum time: \( \frac{27}{10} = 2.7 \, \text{seconds} \)
- Maximum time: \( \frac{33}{10} = 3.3 \, \text{seconds} \)

So, the object will take between 2.7 seconds and 3.3 seconds to travel the distance.

### Summary:
- Problem 25: Time range = \( 1.5 \, \text{hours} \) to \( 2.5 \, \text{hours} \)
- Problem 26: Time range = \( 2.7 \, \text{seconds} \) to \( 3.3 \, \text{seconds} \)

Would you like further details or explanations on these steps?

Here are 5 relative questions to expand on the topic:
1. How do absolute value equations apply in real-world scenarios like this?
2. Can the deviation range be negative in this type of problem?
3. What would happen if the speed varied as well?
4. How would these problems change with non-constant speeds?
5. Could these problems be solved using calculus for more complex motion?

**Tip:** When solving problems involving absolute value, visualize the problem geometrically to understand the range of possible outcomes easily!

Write and solve an absolute value equation for the minimum and maximum times for an object moving at the given speed to travel the given distance.

Learn how to solve problems involving absolute value equations to find the minimum and maximum times for an object moving at a given speed to travel a given distance. Examples include 5 mi/h and 10 ft/s speed calculations. Suitable for students in Grades 7-9.

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