Maths-
SAT
Easy
Question
|
Minutes after injection |
Penicillin concentration (micrograms per milliliter) |
|
0 |
200 |
|
5 |
152 |
|
10 |
118 |
|
15 |
93 |
|
20 |
74 |
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
The penicillin concentration, in micrograms per milliliter, in the patient’s bloodstream t minutes after the penicillin injection is modeled by the function P defined by
. 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? The correct answer is: 0.8
The value of b can be estimated using any row of the table other than the first one.
Using row 3, if t = 10, p(t) = 118
Thus, from the equation, P(t) = 200bt/5
118 = 200b10/5
118/200 = b2
0.59 = b2
Find the square root of both sides to remove square
= 0.8 [to the nearest tenth]
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maths-
|
Minutes after injection |
Penicillin concentration (micrograms per milliliter) |
|
0 |
200 |
|
5 |
152 |
|
10 |
118 |
|
15 |
93 |
|
20 |
74 |
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
According to the table, how many more micrograms of penicillin are present in 10 milliliters of blood drawn from the patient 5 minutes after the injection than are present in 8 milliliters of blood drawn 10 minutes after the injection?
|
Minutes after injection |
Penicillin concentration (micrograms per milliliter) |
|
0 |
200 |
|
5 |
152 |
|
10 |
118 |
|
15 |
93 |
|
20 |
74 |
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
According to the table, how many more micrograms of penicillin are present in 10 milliliters of blood drawn from the patient 5 minutes after the injection than are present in 8 milliliters of blood drawn 10 minutes after the injection?
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