Given that a pyramid is ¼ inch taller than it is wide.
This means that the height of the pyramid is ¼ larger than its width.
Thus, we have:
Width = w
Height = w + ¼
To complete the table, substitute the width given for w and evaluate.
We have:
When width, w = 1
[tex]\begin{gathered} \text{ when width, w = 1} \\ \\ h=1+\frac{1}{4}=1\frac{1}{4}=\frac{5}{4} \\ \\ h=\frac{5}{4} \end{gathered}[/tex]
[tex]\begin{gathered} \text{ when width, w = 2} \\ \\ h=2+\frac{1}{4}=2\frac{1}{4}=\frac{9}{4} \\ \\ h=\frac{9}{4} \end{gathered}[/tex][tex]\begin{gathered} \text{when width, w = 3} \\ \\ h=3+\frac{1}{4}=3\frac{1}{4}=\frac{13}{4} \\ \\ h=\frac{13}{4} \end{gathered}[/tex]
Therefore, we have the complete table below:
To plot the the graph, we have the equation of the line:
[tex]h=w+\frac{1}{4}[/tex]
Let w represent the x-axis
Let h represent the y-axis
Mark the points on the table and plot the graph.
