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To determine if the table represents a function, we need to check if each input (in this case, the average monthly temperature \( t \)) maps to exactly one output (the home's electric bill \( B \)).

Looking at the table:

| \( t \) (Temperature) | \( B \) (Electric Bill) |
|----------------------|-------------------------|
| 55                   | 125                     |
| 60                   | 115                     |
| 65                   | 98                      |
| 73                   | 102                     |
| 82                   | 125                     |
| 91                   | 180                     |
| 95                   | 188                     |
| 94                   | 185                     |
| 88                   | 122                     |
| 77                   | 115                     |
| 64                   | 99                      |
| 55                   | 125                     |

For a relation to be a function, each unique \( t \) must have only one corresponding \( B \). 

- In the table, the temperature \( t = 55 \) appears twice, both times mapping to \( B = 125 \). This is acceptable since the output for this input remains the same.
- Every other temperature also maps to exactly one electric bill value.

Thus, **yes**, this table represents a function because each input temperature corresponds to exactly one electric bill value.

Would you like further details on functions or have any additional questions?

Here are 5 related questions to deepen your understanding:
1. What is the difference between a function and a relation?
2. Can a function have repeated output values for different inputs?
3. How do you identify if a graph represents a function?
4. What are examples of real-world situations that can be modeled by functions?
5. How can you use the vertical line test to check if a relation is a function?

**Tip**: Always check for repeated input values to ensure they map to the same output when determining if a table represents a function.

Does this represent a function based on the given table of average monthly temperatures and electric bills?

Explore whether the given table of average monthly temperatures (t) and electric bills (B) represents a function. Each temperature must map to only one bill value for the relation to be a function. Suitable for students in Grades 8-10.

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