Kristen is considering having two different companies create t-shirts for her Math Club. Here are the two company chooses: Awesome T-shirts charges a $80 up-front fee and $2.50 for each t-shirt, t.
Walden's Tee Company charges a $50 up-front fee and $4.00 for each t-shirt, t.

Kristen needs to order 100 t-shirts. Which company should she choose and why?

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  Awesome T-shirts; the order is for more than 20 shirts

Step-by-step explanation:

The cost of "t" t-shirts at Awesome will be ...

  A = 80 +2.50t

The cost of "t" t-shirts at Walden's will be ...

  W = 50 +4.00t

These costs are equal when ...

  A = W

  80 +2.50t = 50 +4.00t

  30 = 1.50t . . . . . . . . . . . . subtract 50+2.50t

  20 = t . . . . . . . . . . . . divide by 1.50

If the order is for more than 20 t-shirts, the lower per-shirt price at Awesome will mean the total cost is lower at Awesome. Kristen is planning to order 100 t-shirts, so will get a lower price at Awesome.

step-by-step explanation:

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