Pauline quickly drinks a cup of coffee at right before her 11:00 AM Math class. The amount of caffeine (in mg) in her body as a result of drinking this coffee is given by the function 20t A(t) : 1+ 0.01t2’ where t is time in minutes since 11:00 AM. A) Sketch an accurate graph of her caffeine levels during Math class (ends at 11:50) in an appropriate window, labeling axes and scale. What is an appropriate domain for this function? B) What is the y-intercept (vertical intercept) of this function? What does this represent? C) Pauline knows she has trouble focusing when her caffeine level is above 75 mg (maybe she shouldn't have drunk the coffee all at once!). Between what times will she have a hard time focusing? How many minutes is that, in total? Round to the nearest tenth. Label these points on your graph. E Please select file(s) Select file(s)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 64E
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Q4 Caffeine
Pauline quickly drinks a cup of coffee at right before her 11:00 AM Math class. The amount of
caffeine (in mg) in her body as a result of drinking this coffee is given by the function
20t
A(t)
1+ 0.01t2’
where t is time in minutes since 11:00 AM.
A) Sketch an accurate graph of her caffeine levels during Math class (ends at 11:50) in an
appropriate window, labeling axes and scale. What is an appropriate domain for this function?
B) What is the y-intercept (vertical intercept) of this function? What does this represent?
C) Pauline knows she has trouble focusing when her caffeine level is above 75 mg (maybe she
shouldn't have drunk the coffee all at once!). Between what times will she have a hard time
focusing? How many minutes is that, in total? Round to the nearest tenth. Label these points on
your graph.
Please select file(s)
Select file(s)
Save Answer
Transcribed Image Text:Q4 Caffeine Pauline quickly drinks a cup of coffee at right before her 11:00 AM Math class. The amount of caffeine (in mg) in her body as a result of drinking this coffee is given by the function 20t A(t) 1+ 0.01t2’ where t is time in minutes since 11:00 AM. A) Sketch an accurate graph of her caffeine levels during Math class (ends at 11:50) in an appropriate window, labeling axes and scale. What is an appropriate domain for this function? B) What is the y-intercept (vertical intercept) of this function? What does this represent? C) Pauline knows she has trouble focusing when her caffeine level is above 75 mg (maybe she shouldn't have drunk the coffee all at once!). Between what times will she have a hard time focusing? How many minutes is that, in total? Round to the nearest tenth. Label these points on your graph. Please select file(s) Select file(s) Save Answer
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