1. **State the problem:** We have a two-step function machine where the input $x$ is first divided by 5, then 4 is subtracted from the result to produce the output $y$. Given some $x$ values, we want to find the corresponding $y$ values. 2. **Write the function:** The function can be expressed as $$y = \frac{x}{5} - 4$$ 3. **Calculate $y$ for each $x$:** - For $x=30$: $$y = \frac{30}{5} - 4 = 6 - 4 = 2$$ - For $x=100$: $$y = \frac{100}{5} - 4 = 20 - 4 = 16$$ 4. **Check the given $y$ values:** The problem states $y=0$ for $x=30$ and $y=4$ for $x=100$, but our calculations show $y=2$ and $y=16$ respectively, so the given $y$ values seem incorrect or refer to something else. 5. **Match the calculated $y$ values to the options:** The calculated $y$ values for $x=30$ and $x=100$ are 2 and 16. 6. **Look at the options:** - Option 1: -4, 2, -1/5, 16 - Option 2: 4, 2, 24, 16 - Option 3: 2, 2, 16, 16 - Option 4: 20, 2, 40, 16 The pair $(2,16)$ appears in options 1, 2, and 3, but only option 3 has both $y$ values as 2 and 16 matching our calculations. **Final answer:** The correct pair of $y$ values for $x=30$ and $x=100$ is $2$ and $16$.