The table gives estimated concentrations (in micrograms per milliliter) of the drug piroxicam taken in 20 mg doses once a day. Piroxicam Concentration in the Bloodstream Concentration, C (pg/ml) Days, x 1 1.5 3.2 4.5 5.5 9. 6.2 11 6.5 13 6.9 7.3 15 17 7.5 (a) Find a log model for the data. (Round all numerical values to three decimal places.) 7.3 X Hg/ml is the estimated concentration of the drug piroxicam in the bloodstream after x days of taking the drug 1sx s 17 C(x) = (-.367x)) (1+4.321e (b) Express the end behavior of the model by using limits. lim C(x) = 7.3 lim C(x) = (c) Estimate the concentration of the drug after 6 days of piroxicam doses. (Round your answer to three decimal places.) C(6) = 4.94

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The table gives estimated concentrations (in micrograms per milliliter) of the drug piroxicam taken in 20 mg doses once a day.
Piroxicam Concentration
in the Bloodstream
Concentration, C
(pg/ml)
Days, x
1
1.5
3.2
4.5
5.5
9.
6.2
11
6.5
13
6.9
7.3
15
17
7.5
(a) Find a log model for the data. (Round all numerical values to three decimal places.)
7.3
X Hg/ml is the estimated concentration of the drug piroxicam in the bloodstream after x days of taking the drug 1sx s 17
C(x) =
(-.367x))
(1+4.321e
(b) Express the end behavior of the model by using limits.
lim C(x) = 7.3
lim C(x) =
(c) Estimate the concentration of the drug after 6 days of piroxicam doses. (Round your answer to three decimal places.)
C(6) = 4.94
Transcribed Image Text:The table gives estimated concentrations (in micrograms per milliliter) of the drug piroxicam taken in 20 mg doses once a day. Piroxicam Concentration in the Bloodstream Concentration, C (pg/ml) Days, x 1 1.5 3.2 4.5 5.5 9. 6.2 11 6.5 13 6.9 7.3 15 17 7.5 (a) Find a log model for the data. (Round all numerical values to three decimal places.) 7.3 X Hg/ml is the estimated concentration of the drug piroxicam in the bloodstream after x days of taking the drug 1sx s 17 C(x) = (-.367x)) (1+4.321e (b) Express the end behavior of the model by using limits. lim C(x) = 7.3 lim C(x) = (c) Estimate the concentration of the drug after 6 days of piroxicam doses. (Round your answer to three decimal places.) C(6) = 4.94
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