ANSWER and EXPLANATION
We want to find an equation that represents the situation given.
For every cup of sugar, 25 cookies are made.
Given that S represents every cup of sugar and N represents the number of cookies made, we have that the equation that represents that is:
![\begin{gathered} N=25S \\ \Rightarrow S=(N)/(25) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/bfhvsytrdfg77g9ohq61q4pbrrr3uhr49r.png)
We use the second equation since from the graph, the dependent variable is the number of cups of sugar.
To plot the graph, we have to find two sets of values of S and N using the equation.
Let us find S when N is 25 and 50:
![\begin{gathered} \Rightarrow N=25\colon \\ S=(25)/(25) \\ S=1 \\ \Rightarrow N=50\colon \\ S=(50)/(25) \\ S=2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/pelkj2pgqawfcg8irksqnc5o0dl8wqrv8v.png)
We now have two points (25, 1) and (50, 2)
Let us plot the graph:
That is the graph of the equation.