Final answer:
The equation that represents a function is C. 2y = -12.
Step-by-step explanation:
To determine which equation represents a function, we need to check if each input (x-value) corresponds to a unique output (y-value). In option C, the equation 2y = -12 can be rewritten as y = -6, indicating a clear, one-to-one relationship between x and y. This means that for every x-value, there is only one corresponding y-value, satisfying the definition of a function.
Now, let's examine the other options:
A. x = 13: This equation doesn't define y in terms of x, so it does not represent a function.
B. 1 - 12 = 34: This equation simplifies to -11 = 34, which is not a valid mathematical statement. Therefore, it does not represent a function.
D. 22 - 42 = 7: This equation simplifies to -20 = 7, which is also not a valid mathematical statement. Hence, it does not represent a function.
In summary, option C, 2y = -12, is the only equation that represents a function as it satisfies the criteria for a mathematical function by establishing a clear relationship between x and y values.