1. The problem shows a function machine with inputs $15y$, $15w$, and $15p$ on the left and outputs $y$, $w$, and $p$ on the right. 2. We want to find the function that completes this function machine, i.e., the rule that transforms each input to its corresponding output. 3. Notice that each input is multiplied by 15, and the output is the original variable without the 15. 4. This suggests the function divides the input by 15 to get the output. 5. The function can be written as: $$f(x) = \frac{x}{15}$$ 6. To verify, apply $f$ to $15y$: $$f(15y) = \frac{15y}{15} = y$$ Similarly, for $15w$ and $15p$: $$f(15w) = w$$ $$f(15p) = p$$ 7. Therefore, the function that completes the function machine is $f(x) = \frac{x}{15}$. Final answer: $$\boxed{f(x) = \frac{x}{15}}$$