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mrs_skeptik [129]
3 years ago
12

If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharma

cists use the equation c = 0.0417D(a + 1). Suppose the dosage for an adult is 200 mg.
(a) Find the slope of the graph of c. (Round your answer to two decimal places.)

(b) What is the dosage for a newborn? (Round your answer to two decimal places.)
Mathematics
1 answer:
Savatey [412]3 years ago
8 0

Answer:

a) The slope of the graph of c is 8.34.

b) The dosage for a newborn is 8.34mg.

Step-by-step explanation:

A first order function in the following format

c(a) = ba + d

Has slope b.

The appropriate dosage c is a function of the age a.

In this problem, we have that:

c(a) = 0.0417D(a + 1)

Suppose the dosage for an adult is 200 mg. This means that D = 200

So

c(a) = 0.0417*200(a + 1)

c(a) = 8.34a + 8.34

(a) Find the slope of the graph of c.

The slope of the graph of c is 8.34.

(b) What is the dosage for a newborn? (Round your answer to two decimal places.)

A newborn has age a = 0. So this is c(0).

c(a) = 8.34a + 8.34

c(0) = 8.34*0 + 8.34 = 8.34

The dosage for a newborn is 8.34mg.

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The mass of sodium chloride required for 1. 8 × 10^3 people is 3. 6 × 10^5 grams. Option A is the correct answer.

<h3>How do you calculate the mass of sodium chloride required?</h3>

Given that weigh of the person is 50 KG. The mass of the sodium chloride in one person is given below.

1 \;\rm Person = 2\times 10^2\;\rm g

The mass of sodium chloride is calculated as given below.

1.8\times 10^3 \;\rm Person = 2\times 10^2 \times 1.8\times 10^3

1.8\times 10^3 \;\rm Person = 3.6\times 10^5\;\rm g

Hence we can conclude that the mass of sodium chloride required for 1. 8 × 10^3 people is 3. 6 × 10^5 grams. Option A is the correct answer.

To know more about the mass, follow the link given below.

brainly.com/question/15959704.

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