Question

The number of shoes a cobbler (shoemaker) can make varies directly with the amount of time the cobbler spends making the shoes.

Answer 1

The pairs of shoes increases as the time the cobbler works increases

The equation of the pairs of shoes is y = kx

How to determine the equation?

The variation is a direct variation.

So, we  have:

y = kx

Where:

• y represents the number of shoes
• x represents the time in hours
• k represents the proportionality constant

The cobbler can make 3 pairs of shoes in two hours,

So, we have:

k = 3/2

k = 1.5

Substitute k = 1.5 in y = kx

y = 1.5x

Hence, the equation of the scenario is y = kx

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