438The penicillin concentration, in micrograms permilliliter, in the patient's bloodstream t minutes afterthe penicillin injection is modeled by the function P5defined by P(t) = 200b. If P approximates thevalues in the table to within 10 micrograms permilliliter, what is the value of b, rounded to thenearest tenth?4 and 38 refer to the following information.PenicillinMinutes afterconcentrationinjection(microgramsper milliliter)020051521011815932074ent receives a penicillin injection, the kidnee penicillin from the body. The table and gconcentration in a patient's bloodstream athe 20 minutes immediately following a on

Question
Asked Dec 2, 2019
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4
38
The penicillin concentration, in micrograms per
milliliter, in the patient's bloodstream t minutes after
the penicillin injection is modeled by the function P
5
defined by P(t) = 200b. If P approximates the
values in the table to within 10 micrograms per
milliliter, what is the value of b, rounded to the
nearest tenth?
4
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4 38 The penicillin concentration, in micrograms per milliliter, in the patient's bloodstream t minutes after the penicillin injection is modeled by the function P 5 defined by P(t) = 200b. If P approximates the values in the table to within 10 micrograms per milliliter, what is the value of b, rounded to the nearest tenth? 4

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and 38 refer to the following information.
Penicillin
Minutes after
concentration
injection
(micrograms
per milliliter)
0
200
5
152
10
118
15
93
20
74
ent receives a penicillin injection, the kidne
e penicillin from the body. The table and g
concentration in a patient's bloodstream a
the 20 minutes immediately following a on
help_outline

Image Transcriptionclose

and 38 refer to the following information. Penicillin Minutes after concentration injection (micrograms per milliliter) 0 200 5 152 10 118 15 93 20 74 ent receives a penicillin injection, the kidne e penicillin from the body. The table and g concentration in a patient's bloodstream a the 20 minutes immediately following a on

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Expert Answer

Step 1

Consider the given function:

P(t) = 200b
P(t)Penicillin concentration (ugm per milliliter)
tTime after injection
b-Constant
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P(t) = 200b P(t)Penicillin concentration (ugm per milliliter) tTime after injection b-Constant

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Step 2

Consider the given table:

Penicillin concentration
Minutes after injection
(ugm per milliiter)
200
0
152
5
10
118
15
93
20
74
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Penicillin concentration Minutes after injection (ugm per milliiter) 200 0 152 5 10 118 15 93 20 74

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Step 3

Determine the value of...

P(5) 152
200b5152
152
b =
200
b 0.76
P(10) 118
10
200b5118
118
200
b 0.768
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P(5) 152 200b5152 152 b = 200 b 0.76 P(10) 118 10 200b5118 118 200 b 0.768

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