A hair salon owner collected data comparing the length of an appointment in hours at the salon and the amount of money spent by the customer. The data is provided in the table below.
Hours Money Spent
1 $35
1 $40
1.5 $55
1.75 $60
2 $90
2 $100
2.5 $125
3 $145
3 $150
3.5 $160
4 $200
4.5 $225
Use the data in the table to answer the questions.
Part A: Determine the equation for the line of fit. Show all work and include all steps. (4 points)
Part B: Identify and interpret the slope in the context of this scenario. (3 points)
Part C: Demonstrate how to use your equation for the line of fit from Part A to predict the cost of a 6-hour hair salon appointment. Show all work and include all steps. (3 points)