Question

ОМУ Notes Ask Your Teache A method sometimes used by pediatricians to calculate the dosage of medicine for children is based on the child's surface area. If a denotes the adult dosage (in milligrams) and if s is t child's surface area (in square meters), then the child's dosage is given by 1.7 (a) Show that D is a linear function of S Hint: Think of D(S) as having the form D(s) - mS +b. What is the slope m and the y intercept b? (b) If the adult dose of a drug is 750 mg, how much should a child whose surface area is 0.4 m2 receive? (Round your answer to two decimal places mg Sulbnil Answer Save Progess <c View Previous Question Question 12 of 21 View Next Q

Answer 1

Given D(s) = sa/1.7 s: - child surface area(in sq meter) a: - adult dosage(in miligrams) (a) let D(s) = ms + b rightarrow (a/1 - 7)^s + 0 = m^s + b rightarrow m = a/1.7, b = 0 (b) a = 750 mg, s = 0.4m^2 Then D(s) = s_a/1.7 = 0.4 times 750/1.7 mg = 176.47 mg (here D(s) alpha s rightarrow D(s) is a linear function of s)