Question 4a) It costs $1500 plus $5.00 per bottle to produce the lotion.If x represents the number of bottles and y represent the amount of money, the equation that models thisscenario is y = 5x + 1500[Hint: Lesson 6.4, Lesson 5.2, Lesson 4.3, Lesson 2.2, Lesson 7.1]1)What does the rate of change and the initial condition represent in this scenario?ii)The company has $2 500, solve the equation to determine the number of lotion bottles that canbe made.b) Each bottle of lotion sells for $20.00.If x represents the number of bottles and y represent the amount of money, the equation that models thisscenario is y = 20xi)Would this represent a direct or inverse variation? (Explain your answer)ii)Terry likes the product and would like to buy 10 bottles, how much money would she spend?c) The company dropped the price of the lotion to $15.00 per bottle for Boxing Day Sale. Write anequation that models the sale of the lotion bottles?d) The equation that represents the profit is y=20x-(5x+1500)Simplify this equatione) Use the equation to determine the number of lotion bottles that would have to be sold to make a profit of$600.4 How much profit would be 50 bottles of lotion were sold? 1Based on your answer to f(1), what does that indicate about the profit?g) Mrs. Parkes decided to expand her company. The graph below represents the cost to make the lotion andamount made selling the lotion. The lotions are still sold for $20.00 per bottleCost and Sales of Lotion25000-Cost20000.15000100005000i)Amount of Money ($)Sales050010001500Number of Lotion BottlesWrite an equation to represent the new cost of making the lotion.How many lotion bottles must be sold to break even?2000

Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Answered: a) It costs $1500 plus $5.00 per bottle…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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