6. 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 tracked 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 10 glasses of lemonade. Use the model to determine the number of days that she made a profit. b) What are the domain and range? (2.6 11)
6. 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 tracked 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 10 glasses of lemonade. Use the model to determine the number of days that she made a profit. b) What are the domain and range? (2.6 11)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:6. 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 tracked 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 10 glasses of lemonade. Use the model to
determine the number of days that she made a profit.
b) What are the domain and range? (2.6 11)
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