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The graph shows the student's distance from the recreation center as a function of time while riding a bike.

To determine the **range** of the function, we need to analyze the distance values on the vertical axis (y-axis). The graph starts at 10 miles when the time is 0 minutes and decreases linearly to 0 miles at 40 minutes.

The range of a function consists of all the possible output values (y-values) for the given input (x-values). In this case, the output values represent the distance from the recreation center, which starts at 10 miles and decreases to 0 miles.

Thus, the range is the set of all distances from 0 to 10 miles.

The correct answer would be:

- **All real numbers greater than or equal to 0 and less than or equal to 10.**

The range refers to the y-values between 0 and 10 miles inclusive.

Would you like more details on this? Here are five related questions for deeper understanding:

1. How do you find the domain of this graph?
2. What is the slope of the line, and what does it represent in this context?
3. Can you describe the relationship between time and distance in this graph?
4. How would the graph change if the student rode the bike faster?
5. How can we express this function algebraically?

**Tip:** When finding the range of a function, always focus on the y-axis values to determine the possible output values.

A student rode a bike from school to a recreation center. The graph shows the student’s distance in miles from the recreation center after riding the bike for x minutes. What is the range of the function for this situation?

Analyze the range of a function based on a student's bike ride from school to a recreation center. This problem involves identifying the range of a linear function by interpreting a graph showing the distance (in miles) from the recreation center over time (in minutes). Suitable for students in Grades 7-9.

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