Company a sells hats for $11 per hat plus a fixed $7 shipping and handling fee. company b sells hats for $8 per hat plus a fixed $16 shipping and handling fee. the marketing director of company a wants to set up a system of equations to find the number of hats for which the total cost of an order for the two companies is the same. he uses the variables x and y. he lets y represent the total cost of an order. what will x represent?

x = total cost of an order

x = shipping costs for company b

x = shipping costs for company a

x = number of hats

Option D. x = number of hats

Step-by-step explanation:

Let number of hats sold by the companies is x and revenue generated by companies are y and y' respectively.

For company A.

Company sells hats for $11 per hat and a fixed fee of $7 for shipping and handling

So, revenue generated by company A by selling x hats, y = 11x + 7(1)

Similarly for company B.

Company B sells hats for $8 per hat and a fix fee of $16 for shipping and handling

So, revenue generated by company B will be y' = 8x + 16(2)

From this system of equations we can find the number of hats.

But this is possible when total cost of an order for both the companies is same, means y = y'

It's evident from the equations that x will represent number of hats.

Option D. x = number of hats is the correct option.

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step-by-step explanation:

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