Acan factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. the proportionality constant between the number of cans made and the number of sheets of metal used is

From the statement above, we can say that there is a direct relationship between the number of sheets used to the number of cans that can be made. That is, # of sheets is directly proportional to # of cans. We make an equation as follows:

let y = # of sheets
     x = # of cans

y = kx      where k is the proportionality constant

Assuming linear relationship of the two, we can use either data point as follows:

y = kx
2 = k(36)
k = 1/18

Therefore, the proportionality constant is 1/18.