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The cost of a fill on acrylic nails is a function of how many broken nails. MArtha is charged $34 for 5 broken nails, while Grace is charged $26 for 1 broken nail.
a)express the total cost as a fucntion of the number of broken nails.
b)What is the slpe of this fucntion and what does it represent?
c)Another salon charges $6 per nail for a fill regardlesss of the number broken nails. How many nails would have to be broken to make it more economical to go to Martha and Garce's salon?

  • precalculus -

    cost=A*number nails + fixed cost

    Can you take it from here?
    The easy way is to notice A is the slope, or 8dollars/4nails or 2dollars/nail.

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