1. Ten year old Kayla's lemonade stand has experienced rises and falls in sales caused by temperature changes over the last few summers. Her sales over the first two weeks of summer were stacked according to the model S(x) =x³ – 12x2 + 36x , where x is the number of days and S(x) is the number of sales. a) Kayla makes a profit if she sells at least 5 glasses of lemonade. Use the model to determine the number of days that she made a profit. b) What are the domain and range? Interpret each. c) Describe the weather for the summer in her lemonade-sales model. Predict the number of sales on her last sales day (August 31). Does this seem reasonable?
1. Ten year old Kayla's lemonade stand has experienced rises and falls in sales caused by temperature changes over the last few summers. Her sales over the first two weeks of summer were stacked according to the model S(x) =x³ – 12x2 + 36x , where x is the number of days and S(x) is the number of sales. a) Kayla makes a profit if she sells at least 5 glasses of lemonade. Use the model to determine the number of days that she made a profit. b) What are the domain and range? Interpret each. c) Describe the weather for the summer in her lemonade-sales model. Predict the number of sales on her last sales day (August 31). Does this seem reasonable?
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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Transcribed Image Text:1. Ten year old Kayla's lemonade stand has experienced rises and falls in sales caused
by temperature changes over the last few summers. Her sales over the first two weeks
of summer were stacked according to the model S(x) =x³ – 12x2 + 36x , where x is
the number of days and S(x) is the number of sales.
a) Kayla makes a profit if she sells at least 5 glasses of lemonade. Use the model
to determine the number of days that she made a profit.
b) What are the domain and range? Interpret each.
c) Describe the weather for the summer in her lemonade-sales model. Predict the
number of sales on her last sales day (August 31). Does this seem reasonable?
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