precalculus
posted by kennedy .
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?

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.
Respond to this Question
Similar Questions

algebra
Sara bought some 6penny nails and some 10penny nails at ace hardware. She bought 2 more 6penny nails than she did 10penny nails. She had a total of 8 nails. How many 6penny and 10 penny nails did sara purchase? 
Marh
For the nails in the bin below, there are 500 nails per kg.” Using this conversion factor, perform the following calculations. How many nails would you have if you had 0.15 kg? 
Chemistry
Typically, there is a scale provided for weighing the nails. For example, a notice placed above the nail bin might read, “For the nails in the bin below, there are 500 nails per kg.” Using this conversion factor, perform the following … 
chem
Consider two identical iron nails: One nail is heated to 95 °C, the other is cooled to 15 °C. The two nails are placed in a coffee cup calorimeter and the system is allowed to come to thermal equilibrium. What is the final temperature … 
Physics
Calculate the average force per nail when Sarah (following figure), who weighs 130 pounds, lies on a bed of nails and is supported by 600 nails. Express your answer using two significant figures. 
physics
Calculate the average force per nail when Sarah (following figure), who weighs 130 pounds, lies on a bed of nails and is supported by 600 nails. (Figure 1) Express your answer using two significant figures. 
physics
In a classroom demonstration, a 790N physics professor lies on a “bed of nails.” The bed consists of a large number of evenly spaced, relatively sharp nails mounted in a board so that the points extend vertically outward from … 
math
Sara brought a total of 8 nails at ace hardware . she purchased both 6 penny nails and 10 penny nails . she brought 2 more 6 penny nails then she did 10 penny nails . she had a total of 8 mails. How many 6 penny and 10 penny nails … 
Math
A pound of nails cost 13$ . Joe buys 2.4 pounds . How much does Joe spend on nails ? 
Math
A construction worker bought 21 7/8 Pounds of nails when those nails were all used she bought 2 1/2 times as many nails as she had bought the first time how many pounds of nails did she buy the second time