Answer:
The constant of proportionality is [tex]\frac{1}{40}[/tex]
Step-by-step explanation:
We have a function that relate the number of football mums made to the number of ribbons needed, since they are proportional the function that relates the two variables is a linear function is shown below:
[tex]y = a*x[/tex]
The constant of proportionality is the number, "a", that relates the two variables. It was state that 160 ribbons make 4 mums, therefore:
[tex]4 = a*160\\a*160 = 4\\a = \frac{4}{160} = \frac{1}{40}[/tex]
The constant of proportionality is [tex]\frac{1}{40}[/tex]
