Math Problem Statement
Solution
The image shows a page from a student book related to functions, specifically focusing on input/output variables, domain, and range. There is a table of values depicting a home's electric bill in dollars in relation to the average monthly temperature in Phoenix (in degrees Fahrenheit). Additionally, there is a graph, but it is somewhat unclear due to the image quality.
To analyze the information presented:
1. Input/Output and Variables:
- Input: Temperature () in degrees Fahrenheit.
- Output: Electric bill () in dollars.
2. Practical Domain:
The domain would include the range of temperatures listed in the table: This gives the minimum and maximum temperatures:
3. Practical Range:
The range includes the corresponding electric bills from the table: The minimum and maximum electric bills:
Would you like to dive deeper into any specific part, or explore further details like how to determine trends or interpret the graph?
Here are some related questions:
- What type of function might represent the relationship between and ?
- How does temperature affect the electric bill based on the given table?
- Can the data be used to make predictions about electric bills at temperatures not listed?
- Is the relationship between temperature and the electric bill linear or non-linear?
- How would you calculate the average electric bill based on the given data?
Tip: When analyzing a table, always check for patterns or changes between inputs and outputs to hypothesize the relationship (linear, quadratic, etc.).
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Math Problem Analysis
Mathematical Concepts
Functions
Input/Output Variables
Domain
Range
Formulas
None provided, but concepts include identifying practical domain and range from a table.
Theorems
None explicitly involved; related to function analysis.
Suitable Grade Level
Grades 9-11
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