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20. Research results for a clothing retailer show that 600 people will buy a sweater for $30. For every $1 increase in price, 25 fewer people will buy the sweater. The function that models the revenue for the sweater sales is R(x) = (600 – 25x)(30 + x), where x represents the number of $ price increases and R(x) represents the revenue in dollars. a) Create a table of values for the first five $1 increases. What type of function is R(x)? Calculate the first and second differences, if necessary. b) Expand the function to verify your answer in part a). c) Write the domain of the function.

20. Research results for a clothing retailer show that 600 people will buy a sweater for $30. For every $1 increase in price, 25 fewer people will buy the sweater. The function that models the revenue for the sweater sales is R(x) = (600 – 25x)(30 + x), where x represents the number of $ price increases and R(x) represents the revenue in dollars. a) Create a table of values for the first five $1 increases. What type of function is R(x)? Calculate the first and second differences, if necessary. b) Expand the function to verify your answer in part a). c) Write the domain of the function.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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20.Research results for a clothing retailer show that 600 people will buy a sweater for $30. For every $1 increase in price, 25 fewer people will buy the sweater. The function that models the revenue for the sweater sales is R(x) = (600 – 25x)(30 + x), where x represents the number of $1 price increases and R(x) represents the revenue in dollars. a) Create a table of values for the first five $1 increases. What type of function is R(x)? Calculate the first and second differences, if necessary. b) Expand the function to verify your answer in part a). c) Write the domain of the function.
Transcribed Image Text:20.Research results for a clothing retailer show that 600 people will buy a sweater for $30. For every $1 increase in price, 25 fewer people will buy the sweater. The function that models the revenue for the sweater sales is R(x) = (600 – 25x)(30 + x), where x represents the number of $1 price increases and R(x) represents the revenue in dollars. a) Create a table of values for the first five $1 increases. What type of function is R(x)? Calculate the first and second differences, if necessary. b) Expand the function to verify your answer in part a). c) Write the domain of the function.
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