An interior designer wants to decorate a newly constructed house. The function f(x) = 49x² - 200 represents the amount of money he earns per room decorated, where x represents the number of rooms he designs. The function g(x)=x represents the number of rooms the interior designer decorates, where x is the number of hours he works. Part A: Determine the amount of money the interior designer will make decorating the house as a function of hours he works. Part B: If the newly constructed house requires 50 hours of work, how much will the interior designer earn? Show all necessary calculations Part C: Determine an expression to represent the difference quotient for the function found in Part A. Show all necessary work
An interior designer wants to decorate a newly constructed house. The function f(x) = 49x² - 200 represents the amount of money he earns per room decorated, where x represents the number of rooms he designs. The function g(x)=x represents the number of rooms the interior designer decorates, where x is the number of hours he works. Part A: Determine the amount of money the interior designer will make decorating the house as a function of hours he works. Part B: If the newly constructed house requires 50 hours of work, how much will the interior designer earn? Show all necessary calculations Part C: Determine an expression to represent the difference quotient for the function found in Part A. Show all necessary work
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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Transcribed Image Text:An interior designer wants to decorate a newly constructed house. The function f(x) = 49x² - 200 represents the amount of money he earns per room decorated, where x represents the
number of rooms he designs. The function g(x)=x represents the number of rooms the interior designer decorates, where x is the number of hours he works.
Part A: Determine the amount of money the interior designer will make decorating the house as a function of hours he works.
Part B: If the newly constructed house requires 50 hours of work, how much will the interior designer earn? Show all necessary calculations
Part C: Determine an expression to represent the difference quotient for the function found in Part A. Show all necessary work
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