A machine in a shoe factory produces shoelaces. The number of shoelaces it produces is proportional to the time. It car 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.

s = 4t

Step-by-step explanation:

Let number of shoelace produced be S and time taken to produce then be T

If the number of shoelaces it produces is proportional to the time, this can be expressed using a direct relationship as:

S∝T

S = kT where

k is the proportionality constant

If 12 laces of shoes can be produced in 3 minutes, then S = 12 and T = 3

The relationship above on substitution becomes

12 = 3k

k = 12/3

k = 4

If the proportionality constant is 4, then the equation representing the relationship will be:

s = 4t

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step-by-step explanation:

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