A machine in a shoe factory produces shoelaces. The number of shoelaces it produces is proportional to the time. It can produce twelve shoelaces in three minutes. Write an equation to represent this proportional relationship. In your answer, make sure to define the variables you used.

12 * 3x

Step-by-step explanation:

x is equal to the minutes

y = 4x (y = shoelaces & x = minutes)

Step-by-step explanation: We know that 12 shoelaces are produced in 3 minutes and that the ratio of shoelaces produced to minutes spent is proportional. We can figure out, therefore, that if you multiply the number of minutes by 4, you will get the number of shoelaces. As an equation, this would be y = 4x (y = shoelaces & x = minutes).

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)