Question

It takes 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? 40 140 80 14

Answer 1

40

Explanation:

If two variable y and x are related to one other

then they can be represented as y = kx.

where k is constant of proportionality

Number of football mums is represented by y

and number of ribbons is represented by x

Then y = kx

Also, It takes 160 ribbons to make 4 football mums

substituting y with 4 and

substituting x with 160 in y = kx, we have

4 = k*160

=> k = 4/160 = 1/40

Thus, constant of proportionality is 1/40.

But here option given are 40 140 80 14

so ,equation can be represented as

x = ky

substituting y with 4 and

substituting x with 160 in x = ky , we have

160 = k*4

=> k = 160/4 = 40

Thus, for equation x = ky , constant of proportionality is 40.