75р The cost to remove a toxin from a lake is modeled by the function C(p) where C is the cost 85 - P (in thousands of dollars) and p is the amount of toxin in a small lake (measured in parts per billion [ppb]). This model is valid only when the amount of toxin is less than 85 ppb. a. Find the cost in dollars to remove 30 ppb of the toxin from the lake. C = $ (round to the nearest whole dollar) b. Find the formula for the inverse function. p = f'(C) = c. Use part b. to determine how much toxin is removed for $50,000. ppb (round to 2 decimal places)

75р The cost to remove a toxin from a lake is modeled by the function C(p) where C is the cost 85 - P (in thousands of dollars) and p is the amount of toxin in a small lake (measured in parts per billion [ppb]). This model is valid only when the amount of toxin is less than 85 ppb. a. Find the cost in dollars to remove 30 ppb of the toxin from the lake. C = $ (round to the nearest whole dollar) b. Find the formula for the inverse function. p = f'(C) = c. Use part b. to determine how much toxin is removed for $50,000. ppb (round to 2 decimal places)

Name: Ex Restrict the Don x75pwhere C is the costThe cost to remove a toxin
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Description: Ex Restrict the Don x75pwhere C is the costThe cost to remove a toxin from a lake is modeled by the function C(p)85 - P(in thousands of dollars) and p is the amount of toxin in a small lake (measured in parts per billion [ppb]).This model is valid o

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.3: Solving Linear Equations

Problem 1E

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A store offers customers a 30% discount on the price x of selected items. Then, the store takes off an additional 15% at the cash register. Write a price function P(x) that computes the final price of the item in terms of the original price x. (Hint: Use function composition to find your answer.)
TEST YOUR UNDERSTADING FOR EXAMPLE 3.5 A donation to the university is required for the privilege of purchasing premium season football passes. The cost is a linear function of the number of season passes. It costs 8000 to get season passes for myself and my spouse. To get passes for my entire family of 5, it costs 17,000. Use a formula to express the total cost C, in dollars, of n season passes. EXAMPLE 3.5 CHANGING CELSIUS TO FAHRENHEIT Temperature F=F(C) in Fahrenheit is a linear function of the temperature C in Celsius. A lab assistant placed a Fahrenheit thermometer beside a Celsius thermometer and observed the following: When the Celsius thermometer reads 30 degree (C=30), the Fahrenheit thermometer reads 86 degrees (F=86). When the Celsius thermometer reads 40 degrees, the Fahrenheit thermometer reads 104 degrees. Part 1 Use a formula to express F as a linear function of C. Part 2 At sea level, water boils at 212 degrees Fahrenheit. What temperature in degrees Celsius makes water boil? Part 3 Explain in practical terms what the slope means in this setting.
Later Public High School Enrollment Here is a model for the number of students enrolled in U.S. public high schools as a function of time since 2000. N=0.033t2+0.46t+13.37 In this formula, N is the enrollment in millions of students, t is the time in years since 2000, and the model is applicable from 2000 to 2010. a. Calculate N(10) and explain in practical terms what it means. b. In what year was the enrollment the largest? c. Find the average yearly rate of change in enrollment from 2004 to 2010. Is the result misleading, considering your answer to part b?
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