Question

In order in order to build a shed you need to build 6 inches of height for a base that is 26 inches long. What is the height of a shed that is 156 inches long?Part A: What is the equation that represents this relationship y=blankPart B: A shed that is 156 inches long is blank inches high

Answer 1

A.

Let y represent the length of the shed and x the height;

Then we can represent it with the equation;

`\begin{gathered} y\propto x \\ y=kx \end{gathered}`

To get k, at y=26, x =6;

Substituting the values to the equation above;

`\begin{gathered} y=kx \\ 26=k(6) \\ k=(26)/(6) \\ k=(13)/(3) \end{gathered}`

Therefore, the equation will be;

`y=(13)/(3)x`

B.

For a shed that is 156 inches long, the height will be;

y=156

`\begin{gathered} y=156=(13)/(3)x \\ x=156*(3)/(13) \\ x=36\text{ inches} \end{gathered}`

Therefore, the shed that long is 36 inches high.

`36\text{ inches}`