A classmate is building a mathematical model for the temperature in his home during the summer. He explains that, without air conditioning, his home is hottest at 3:00 p.m. His model considers temperature, T, in degrees Fahrenheit, as a function of the number of hours since 6:00 a.m., h. He produces the equation, T (h) = -12 cos( (h – 1)) + 75. Why might his equation be invalid for this situation? O The period of 12 hours indicates that two highs occur throughout the day. O The maximum temperature for the function doesn't occur at 3:00 p.m. in the model. The amplitude must be incorrect. O The sine function is more accurate in modeling these temperatures. O The maximum temperature for the function doesn't occur at 3:00 p.m. in the model. The horizontal shift must be incorrect.
A classmate is building a mathematical model for the temperature in his home during the summer. He explains that, without air conditioning, his home is hottest at 3:00 p.m. His model considers temperature, T, in degrees Fahrenheit, as a function of the number of hours since 6:00 a.m., h. He produces the equation, T (h) = -12 cos( (h – 1)) + 75. Why might his equation be invalid for this situation? O The period of 12 hours indicates that two highs occur throughout the day. O The maximum temperature for the function doesn't occur at 3:00 p.m. in the model. The amplitude must be incorrect. O The sine function is more accurate in modeling these temperatures. O The maximum temperature for the function doesn't occur at 3:00 p.m. in the model. The horizontal shift must be incorrect.
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
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Transcribed Image Text:A classmate is building a mathematical model for the temperature in his home during the
summer. He explains that, without air conditioning, his home is hottest at 3:00 p.m. His model
considers temperature, T, in degrees Fahrenheit, as a function of the number of hours since
6:00 a.m., h. He produces the equation, T (h) = -12 cos( (h – 1)) + 75. Why might his
equation be invalid for this situation?
O The period of 12 hours indicates that two highs occur throughout the day.
O The maximum temperature for the function doesn't occur at 3:00 p.m. in the model. The
amplitude must be incorrect.
O The sine function is more accurate in modeling these temperatures.
O The maximum temperature for the function doesn't occur at 3:00 p.m. in the model. The
horizontal shift must be incorrect.
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