To determine if the equation \( 10y = 20x - 10 \) represents a function, we can rearrange it to solve for \( y \):
\[ 10y = 20x - 10 \] \[ y = \frac{20x - 10}{10} \] \[ y = 2x - 1 \]
In this form, \( y = 2x - 1 \), we can see that for every value of \( x \), there is exactly one corresponding value of \( y \). This means that the equation represents a linear function, which is a relationship where each input \( x \) produces a single output \( y \).
Therefore, \( 10y = 20x - 10 \) is indeed a function.
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