Posted by kennedy on .
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 
bobpursley,
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.