For $k = 0,1,2,3$: output = $y = 8 - k$

Tue, 05 May 2026 19:20:22 +0000

Understanding the Linear Relationship: For $k = 0, 1, 2, 3$, the Output is $y = 8 - k$ When analyzing simple linear equations, the relationship between variables often follows a predictable pattern—this is especially true in cases where one variable decreases systematically as another increases. The equation $y = 8 - k$, where $k$ takes values from $0$ to $3$, provides a clear example of such a linear relationship. In this case, as $k$ increases from $0$ to $3$, the output $y$ decreases by $1$ for each unit increase in $k$. Specifically:
- When $k = 0$, $y = 8$
- When $k = 1$, $y = 7$
- When $k = 2$, $y = 6$
- When $k = 3$, $y = 5$ This descending pattern makes $y$ a linear function of $k$ with a slope of $-1$, intercepting the y-axis at $8$. Solving for $y$ using $y = 8 - k$ allows for quick predictions of output values for any valid $k$ in this range.