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The cost in dollars (in dollars) of making x flip flops is represented by 40+4x. The cost (in dollars) of making x sandals is represented by 70+8x. a. Write a polynomial that represents the total cost of making x sandals and x flip flops. b. What is the total cost of making 15 sandals and 15 flip flops?

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Answer:

a. C = 12x + 110; b. $290

Step-by-step explanation:

a. The polynomial

 Let L = cost of flip-flops

and S = cost of sandals

Then

C =      L      +      S

  = 40 + 4x + 70 + 8x

  = 12x + 110

b. The cost

C = 12 × 15 + 110

  = 180 + 110

  = $290

The cost of making 15 flip-flops and 15 sandals is $290.