1. **State the problem:** We need to fill in the values of $y$ in the table using the function rule $$y = -10x - 3$$ for the given $x$ values: $-1$, $0$, $1$, and $5$. 2. **Formula and explanation:** The function rule is a linear equation where $y$ depends on $x$. For each $x$, substitute its value into the equation to find $y$. 3. **Calculate each $y$ value:** - For $x = -1$: $$y = -10(-1) - 3 = 10 - 3 = 7$$ - For $x = 0$: $$y = -10(0) - 3 = 0 - 3 = -3$$ - For $x = 1$: $$y = -10(1) - 3 = -10 - 3 = -13$$ - For $x = 5$: $$y = -10(5) - 3 = -50 - 3 = -53$$ 4. **Final table values:** | x | y | |-----|-----| | -1 | 7 | | 0 | -3 | | 1 | -13 | | 5 | -53 |