fill in the final bl

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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Please help me fill in the final blank
6.5x2 - 86.8x + 3737
The function f(x) =
models the pH level, f(x), of a mouth x minutes after eating food
x2 + 576
containing sugar. The graph of this function is shown to the right. Complete parts (a) through (e).
12
36
24
Number of Minutes after Eating
48
60
b. After eating sugar, when is the pH level the lowest? Use the function's equation to determine the pH level at this time.
The pH level is the lowest after 24 minutes.
The pH level at this time is4.7
(Round to the nearest tenth as needed.)
c. According to the graph, what is the normal pH level of the human mouth?
The normal pH level is 6.5
d. What is the equation of the horizontal asymptote associated with this function? Describe what this means in terms of the mouth's pH level over time.
The equation of the horizontal asymptote is
| (Type an equation.)
What does this mean in terms of the mouth's pH level over time?
Vi
(1,1)
More
Click to select your answer(s).
99+
pH Level of the Mouth
Transcribed Image Text:6.5x2 - 86.8x + 3737 The function f(x) = models the pH level, f(x), of a mouth x minutes after eating food x2 + 576 containing sugar. The graph of this function is shown to the right. Complete parts (a) through (e). 12 36 24 Number of Minutes after Eating 48 60 b. After eating sugar, when is the pH level the lowest? Use the function's equation to determine the pH level at this time. The pH level is the lowest after 24 minutes. The pH level at this time is4.7 (Round to the nearest tenth as needed.) c. According to the graph, what is the normal pH level of the human mouth? The normal pH level is 6.5 d. What is the equation of the horizontal asymptote associated with this function? Describe what this means in terms of the mouth's pH level over time. The equation of the horizontal asymptote is | (Type an equation.) What does this mean in terms of the mouth's pH level over time? Vi (1,1) More Click to select your answer(s). 99+ pH Level of the Mouth
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