To determine which table does not represent $y$ as a function of $x$, we need to understand the definition of a function. A function is a relationship where each input (value of $x$) has exactly one output (value of $y$). In other words, for each value of $x$, there should be only one corresponding value of $y$.

Let’s analyze each table:

Table A:

$x$	110	18	15	14	12
$y$	9	11	9	14	7

For each $x$-value in Table A, there is exactly one corresponding $y$-value. This table represents a function.

Table B:

$x$	-0.2	0.6	-1.3	-0.2	-1.2
$y$	5.8	-3.7	4.4	-0.9	8.1

Here, $x = -0.2$ appears twice, but the corresponding $y$-values are 5.8 and -0.9. Since the same $x$-value corresponds to two different $y$-values, this table does not represent a function.

Table C:

$x$	14	15	16	17	18
$y$	100	80	110	100	90

For each $x$-value in Table C, there is exactly one corresponding $y$-value. This table represents a function.

Table D:

$x$	-24	21	24	-27	29
$y$	2.7	2.8	2.7	2.5	2.5

For each $x$-value in Table D, there is exactly one corresponding $y$-value. This table represents a function.

Conclusion:

Table B does not represent $y$ as a function of $x$ because the same $x$-value corresponds to different $y$-values.

Would you like further details or help with similar problems? Here's a list of related questions:

1. How can you tell if a graph represents a function?
2. What is the vertical line test, and how does it help in determining if a graph is a function?
3. How do you apply the definition of a function to real-world situations?
4. Can a function have multiple inputs for one output? Explain.
5. What are some examples of functions in daily life?

Tip: To quickly check if a table represents a function, always look for repeating $x$-values. If they map to different $y$-values, it’s not a function.