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The graph shown depicts a linear relationship between the amount of gasoline (in gallons) and its cost (in dollars), which suggests the gas station owner tracks a direct proportional increase in cost with an increase in gasoline amount.

For the **domain** (the possible x-values), it starts from 0 gallons (no negative gasoline amounts make sense in this context) and extends to at least 13 gallons based on the graph. It doesn't seem to continue indefinitely as the graph stops at 13 gallons.

For the **range** (the possible y-values), the cost also starts at 0 dollars (when no gasoline is bought) and extends to a maximum of 50 dollars as shown by the graph at 13 gallons of gasoline.

Based on the graph and description:

- **Domain:** All real numbers greater than or equal to 0 and less than or equal to 13
- **Range:** All real numbers greater than or equal to 0 and less than or equal to 50

Therefore, the correct answer choice that matches the description of the domain and range for this function based on the graph would be **Option B**:

- Domain: All real numbers greater than or equal to 0 and less than or equal to 13
- Range: All real numbers greater than or equal to 0 and less than or equal to 50

Would you like to know more about how to determine the domain and range from a graph or have any other questions about this problem?

Here are five follow-up questions you might consider:
1. How does the slope of the line relate to the cost per gallon of gasoline?
2. What would the graph look like if the cost per gallon of gasoline increased?
3. How would extending the domain beyond 13 gallons affect the graph and its interpretation?
4. Can you calculate the cost of gasoline if 10 gallons were purchased based on the graph?
5. How does changing the scale of the graph affect the interpretation of the data?

**Tip:** When analyzing a graph, always consider the context and practical limitations of the scenario to accurately determine the domain and range.

A gas station owner calculates the cost of gasoline he needs to purchase for the year and records it on the graph below. Which answer choice best describes the domain and range of the function in this situation?

Learn how to determine the domain and range from a graph of a linear function representing gasoline cost. This problem involves key concepts like linear functions, domain, and range. Ideal for middle school students (Grades 6-8).

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