Notice that on the number line we relate two points of each line (peanuts and raisins) to write the following proportions:
[tex]\frac{2}{6}=\frac{4}{12}[/tex]if we make cross product, we get:
[tex]\begin{gathered} \frac{2}{6}=\frac{4}{12} \\ \Rightarrow2\cdot12=6\cdot4 \\ \Rightarrow24=24 \end{gathered}[/tex]we have that 24=24, which is always true. This means that we wrote correctly the ratios, therefore the unit rate for the ratio of peanuts to raisins is 3:1 or 1/3