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
[tex]c(a) = ba + d[/tex]
Has slope b.
The appropriate dosage c is a function of the age a.
In this problem, we have that:
[tex]c(a) = 0.0417D(a + 1)[/tex]
Suppose the dosage for an adult is 200 mg. This means that [tex]D = 200[/tex]
So
[tex]c(a) = 0.0417*200(a + 1)[/tex]
[tex]c(a) = 8.34a + 8.34[/tex]
(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).
[tex]c(a) = 8.34a + 8.34[/tex]
[tex]c(0) = 8.34*0 + 8.34 = 8.34[/tex]
The dosage for a newborn is 8.34mg.
