You are a manager of a music academy. The typical consumer’s yearly demand function for piano lessons is given by Q = 80 – 2P. The cost for offering each lesson is $10. Assume that fixed cost is zero. d. Suppose you decide to use non-linear price discrimination instead, charging $30 for the first 20 lessons. If you charge $15 for each additional lesson after that then how many lessons, in total, will be purchased by a typical consumer?

e. Calculate consumer surplus, producer surplus and deadweight loss for the strategy used in part d)

The data shown in the table below represents the weight, in pounds, of a little girl, recorded each year on her birthday. age (in years) weight (in pounds) 2 32 6 47 7 51 4 40 5 43 3 38 8 60 1 23 part a: create a scatter plot to represent the data shown above. sketch the line of best fit. label at least three specific points on the graph that the line passes through. also include the correct labels on the x-axis and y-axis. part b: algebraically write the equation of the best fit line in slope-intercept form. include all of your calculations in your final answer. part c: use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

The value √10 and √15 are plotted on the number line

What are “like terms”? why can we only add like terms?