Let:
x = Number of weeks
y = Total amount of money
Let:
[tex]\begin{gathered} (x1,y1)=(0,0) \\ (x2,y2)=(2,50) \\ the_{\text{ }}slope_{\text{ }}is\colon \\ m=\frac{y2-y1}{x2-x1}=\frac{50-0}{2-0}=\frac{50}{2}=25 \\ using_{\text{ }}the_{\text{ }}point-slope_{\text{ }}equation \\ y-y1=m(x-x1) \\ y-0=25(x-0) \\ y=25x \end{gathered}[/tex]Therefore, the only graph which satisfies the equation is graph C
