[tex]1. \quad \text{Direct variation. The table of values follows $y = kx$ where $k=3$.}\\\\2. \quad \text{Neither. No discernable pattern}\\\\3. \quad \text{Inverse variation. The table of values follows $y = \frac{k}{x}$ where $k = 40$.}\\\\4. \quad \text{Neither. As x increases, y increases but the graph is not linear.}\\ \text{And so it does not represent $y=kx$ which is a line with slope $k$. }\\\\5. \quad \text{Direct variation. As x increases, y increases, and the graph is a line. }\\[/tex]
[tex]6.\quad \text{Direct variation. As x increases, y increases, and the graph is a line. }\\\\7. \quad \text{Inverse variation. As x increases, y decreases. Also, the graph of $y=\frac{k}{x}$ is a hyperbola. }\\[/tex]
Answers & Comments
Answer:
1. neither
2.neither
3.inverse
4.inverse
5.direct.
6.direct
7.inverse
Verified answer
Answer:
[tex]1. \quad \text{Direct variation. The table of values follows $y = kx$ where $k=3$.}\\\\2. \quad \text{Neither. No discernable pattern}\\\\3. \quad \text{Inverse variation. The table of values follows $y = \frac{k}{x}$ where $k = 40$.}\\\\4. \quad \text{Neither. As x increases, y increases but the graph is not linear.}\\ \text{And so it does not represent $y=kx$ which is a line with slope $k$. }\\\\5. \quad \text{Direct variation. As x increases, y increases, and the graph is a line. }\\[/tex]
[tex]6.\quad \text{Direct variation. As x increases, y increases, and the graph is a line. }\\\\7. \quad \text{Inverse variation. As x increases, y decreases. Also, the graph of $y=\frac{k}{x}$ is a hyperbola. }\\[/tex]