2. (Developing and Proficient) An ice cream company varies the prices of its pint containers to maximize profit. The equation P(x) = - 8x² + 48&x – 57 models the company's profit in thousands of dollars, where x is the price of a pint container of ice cream in dollars. a. How much does the company need to charge for a pint of ice cream if they want to at least break even and not lose any money? b. If the company wants to make $7,000 in profit, how much should they charge for a pint of ice cream? c. Is it possible for them to make $20,000 in profit from this business? Why or why not?

Q: The cost C of producing x number of paperback books is given by C = 4.50x + 2400. Income R from…

A: We have given that The cost C of producing x number of paperback books is given by…

Q: Martin mixes green paint and blue paint in a proportional relationship that can be represented by…

A: Martin mixes green paint and blue paint in a proportional relationship that can be represented by…

Q: Pizzicato Pizza, Inc. finds that the cost to make x pizzas (with one topping) is C = 2x + 210 while…

A: It is given that C=2x+210 and R=12x

Q: A delivery company has a fleet of vans. The annual operating cost C per van is C= 0.32m + 2500,…

A:

Q: A company that manufactures lamps has a fixed cost of $80,000 and it costs $20 to produce each lamp.…

A: (a) Consider the provided information, The lamps has fixed cost of $ 80000 and variable cost are…

Q: Alyssa invested a certain amount of money to purchase tools to start her jewelry business. She also…

A: As  we know that  Profit=Sell price-Cost Price see below the answer and explanation

Q: Michael wants to buy an efficient Smart car that according to the latest EPA standards gets 33 mpg…

A:

Q: Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation…

A: We have  Sx=1.5x+6.4 where 'x' is year after 2005.

Q: 5. The profit, p(x), of a video company, in thousands of dollars, is given by the equation p(x) =…

A: 5. The profit, , of a video company, in thousands of dollars, is given by the equation , where  is…

Q: Carlo works in a restaurant and makes S6 per hour plus tips. He is receiving an average of $5 per…

A:

Q: I am having a party. I purchase: x pizzas, y 12-packs of soda, and z cupcakes for a party. If each…

A:

Q: The equation b(x) = 2/5t + 20 expresses the number of tickets in a locker. The variable b represents…

A:

Q: A drink recipe calls for prine juice and carrot juice.This equation represents the proportional…

A: consider the provided question, Number of quarts of prune juice = P Number of quarts of carrot juice…

Q: You decide to start a new business making and selling hand sanitizer. You’re daily revenue, r, from…

A: Given. . R=x(85 -1.5x) And daily revenue $500

Q: To produce x units of a religious medal costs C(x)= 16x+63. The revenue is R(x) = 25x. Both cost and…

A: To produce x units of a religious medal costs C(x) = 16x + 63 The revenue is R(x) = 25x Both cost…

Q: A car rental company charges a flat fee of $18.30 plus $0.15 per mile. Part 1 of 2 (a) Write an…

A: Given: The car rental company charges a flat fee of $18.30 plus $0.15 per mile

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.