Let:
x = Number of pencils you can buy
y = Number of peppermint patties you can buy
a = cost of each pencil
b = cost of each peppermint patty
The standard form of a linear equation is given by:
![\begin{gathered} Ax+By=C \\ \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/724bk2kpwresyri2eledbsq1awaa71zv5k.png)
So:
![0.1x+0.05y=1](https://img.qammunity.org/2023/formulas/mathematics/high-school/6o2lvxmmer8ot4edmhi4ke0h859s657vdm.png)
The graph of this equation is:
The x-intercept represents the maximum number of pencils you can buy
The y-intercept represents the maximum number of peppermint patties you can buy