Question

It take 160 ribbons to make 4 football mums.What is the constant of proportionality that relates the number of football mums made ,y, to the number of ribbons used,x? A.40 B.1/10 C.80 D.1/4

Answer 1

The constant of proportionality is
`(1)/(40)`

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:

`y = a*x`

The constant of proportionality is the number, "a", that relates the two variables. It was state that 160 ribbons make 4 mums, therefore:

`4 = a*160\\a*160 = 4\\a = (4)/(160) = (1)/(40)`

The constant of proportionality is
`(1)/(40)`