Please solve the circle.

134 CHAPTER 2 Linear and Quadratic Functions (b) Determine the prices for which quantity demanded is 42. In parts (a) and (b), use the following figure. less than quantity supplied. YA (c) What do you think will eventually happen to the price (0, 7) of hot dogs if quantity demanded is less than quantify (-4, 7) y = h(x) supplied? 47.) Taxes The function T(x) = 0.15 (x - 9325) + 932 50 represents the tax bill T of a single person whose adjusted gross income is x dollars for income between $9325 and $37,950, inclusive, in 2017. (0, -8) (7, -8) y = g(x) Source: Internal Revenue Service (a) What is the domain of this linear function? y = f( x) (b) What is a single filer's tax bill if adjusted gross income is a) Solve the equation: f(x) = 8(x). $20,000? b) Solve the inequality: 8 (x) C(x). This represents D(P) = 1200 - 25p the number of units that the company must sell to earn a where p is the price of a T-shirt. profit. a) Find the equilibrium price for T-shirts at this concert. 49. R(x) = 8x What is the equilibrium quantity? C(x) = 4.5x + 17,500 (b) Determine the prices for which quantity demanded is 50. R(x) = 12x greater than quantity supplied. C(x) = 10x + 15,000 (c) What do you think will eventually happen to the price of T-shirts if quantity demanded is greater than quantity 51 Straight-line Depreciation Suppose that a company has just supplied? purchased a new computer for $3000. The company chooses 46. Supply and Demand Suppose that the quantity supplied S to depreciate the computer using the straight-line method and the quantity demanded D of hot dogs at a baseball game over 3 years. are given by the following functions: (a) Write a linear model that expresses the book value V of the computer as a function of its age x. S(p) = -2000 + 3000p (b) What is the implied domain of the function found in part (a)? D(p) = 10,000 - 1000p c) Graph the linear function. where p is the price of a hot dog. (d) What is the book value of the computer after 2 years? (a) Find the equilibrium price for hot dogs at the baseball e) When will the computer have a book value of $2000? game. What is the equilibrium quantity? 52. Straight-line Depreciation Suppose that a company has just purchased a new machine for its manufacturing facility for