Question

An online clothing company sells custom sweatshirts. The company charges ​$2.99 for shipping plus ​$8.00 for each sweatshirt. Write a linear function rule that models the total cost y​ (in dollars) for any number of sweatshirts x.

Use pencil and paper. Describe how the linear function rule would change if the shipping charge applied to each sweatshirt.

Answer 1

y = 8x + 2.99

y =10.99x if the shipped was charger per shirt.

Step-by-step explanation:

For the first equation, the shipping charge in 2.99 if you buy 1 shirt or 100 shirts. It is an initial or one time fee, but you have to pay $8 for each shirt. I shirt 8, 2 shirts 16, 3 shirts 24 and so on.

In the second equation you are paying 2 and the shipping for each shirt.

Answer 2

Answer: y = 8x+2.99

That function is when the shipping charge is a one time fee.

If the shipping charge applied to each sweatshirt, then the total cost function would be y = 10.99x

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Step-by-step explanation:

x = number of sweatshirts

Since each shirt costs $8, the expression 8x is the total cost of the shirts if we ignore shipping. Add on shipping to get 8x+2.99 as the actual total cost. This wouldn't include taxes or any other potential fees.

Adding on the 2.99 means it's a one time charge. This assumes all of the sweatshirts you buy is able to be shipped in one box.
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If we changed it so that the shipping applied to each shirt (instead of each box), then the 2.99 would become 2.99x

That would mean the total cost becomes y = 8x+2.99x which fully simplifies to y = 10.99x

It says that the cost per shirt is really $10.99