# college finite math

posted by .

Cowling's Rule is a method for calculating pediatric drug dosages. If a denotes the adult dosage (in milligrams) and if t is the child's age (in years), then the child's dosage is given by

D(t) = (t + 1/24)a

(a) Show that D is a linear function of t.
Hint: Think of D(t) as having the form
D(t) = mt + b.
What are the slope m and the y-intercept b?
m = ______

b = ______

## Similar Questions

1. ### math

Can someone help me correct this: The formula below gives a rule for the amount of medicine a child should have if you know the age of the child(a) and the amount , or dosage,(d) of the medine an adult would take.Find the child's dosage(d) …
2. ### Algebra

Clark's Rule is commonly used to calculate the childresn's dosage of medication: Clark's Rule is: C=A x W/150 Use the rule to calulate thr problem C- child's dose A= adult's dose W=weight of child in pounds How much would a child need …
3. ### Algebra

Clark's Rule is commonly used to calculate the childresn's dosage of medication: Clark's Rule is: C=A x W/150 Use the rule to calulate thr problem C- child's dose A= adult's dose W=weight of child in pounds How much would a child need …
4. ### algebra

Two expressions for calculating the drug dose for young children are: (2t^3 + t^2 -t)a / 48t^2 -24t and (3t^2 -2t)a / 3t^2 + 34t - 24 where t is the age of the child in years and a is the adult dose. If the adult dose for a pain killing …
5. ### math, algebra

Two expressions for calculating the drug dose for young children are: (2t^3 + t^2 -t)a / 48t^2 -24t and (3t^2 -2t)a / 3t^2 + 34t - 24 where t is the age of the child in years and a is the adult dose. If the adult dose for a pain killing …
6. ### college finite math

Cowling's Rule is a method for calculating pediatric drug dosages. If a denotes the adult dosage (in milligrams) and if t is the child's age (in years), then the child's dosage is given by D(t) = (t + 1/24)a (a) Show that D is a linear …
7. ### Math 221

The question is using the Cowling's Rule for children's dosage of medication. Explain what the variables in the formula represent and show all steps in the computations. Part A -An adult dose is 75mg Part B- 500mg (adult) 187mg (child)
8. ### Math 221

If a doctor uses Cowling's rule to prescribe 187 milligrams of Tamiflu to a child when she would prescribe 500 milligrams to an adult, then how old is the child?
9. ### Math 221

In Cowling's Rule If a doctor prescribes 75 milligrams of tamiflu for an adult, then how many milligrams would she prescribe for a six-year-old child using Cowling's rule?
10. ### mat221

using the crowlings rule to determine appropriate dose of a certain medicine adult dosage is 500mg the age of the child is 7 years old what would be the correct dosage and than 300mg adult and 60 mg child to calculate childs age

More Similar Questions