Project #66881 - Algebra

 

  1. Cowling's rule. Cowling's rule is another function for determining the child's dosage of a drug. For this rule, the formula

     

    expresses the child's dosage d as a function of the adult dosage D and the child's age a.

 

a)

If a doctor prescribes 1000 milligrams of acetaminophen for an adult, then how many milligrams would she prescribe for an eight-year-old child using Cowling's rule?

b)

If a doctor uses Cowling's rule to prescribe 200 milligrams of a drug to a child when she would prescribe 600 milligrams to an adult, then how old is the child?

 

  1. Administering vancomycin. A patient is to receive 750 milligrams (desired dose) of the antibiotic vancomycin. However, vancomycin comes in a solution containing 1000 milligrams (available dose) of vancomycin per 5 milliliters (quantity) of solution. The amount of solution to be given to the patient is a function of the desired dose, the available dose, and the quantity, given by the formula

     

     

    You find the  Cowlings’  Rule in above paragraph

     

 

  • Read about Cowling’s Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algebra).
  • Solve parts (a) and (b) of the problem using the following details indicated for the first letter of your last name:

 

If your last name starts with letter

For part (a) of problem 92 use this information to calculate the child’s dose.

For part (b) of problem 92 use this information to calculate the child’s age.

A or Z

adult dose 400mg ibuprofen; 5 year old child

800mg adult, 233mg child

C or X

adult dose 500mg amoxicillin; 11 year old child

250mg adult, 52mg child

E or V

adult dose 1000mg acetaminophen; 8 year old child

600mg adult, 250mg child

G or T

adult dose 75mg Tamiflu; 6 year old child

500mg adult, 187mg child

I or R

adult dose 400mg ibuprofen; 7 year old child

1200mg adult,200mg child

K or P

adult dose 500mg amoxicillin; 9 year old child

100mg adult, 12.5mg child

M or N

adult dose 1000mg acetaminophen: 6 year old child

600mg adult, 200mg child

O or L

adult dose 75mg Tamiflu; 11 year old child

1000mg adult, 600mg child

Q or J

adult dose 400mg ibuprofen; 8 year old child

500mg adult, 250mg child

S or H

adult dose 500mg amoxicillin; 4 year old child

300mg adult, 100mg child

U or F 

adult dose 1000mg acetaminophen; 3 year old child

75mg adult, 12.5mg child

W or D

adult dose 75mg Tamiflu; 5 year old child

1200mg adult, 300mg child

Y or B

adult dose 400mg ibuprofen; 2 year old child

400mg adult, 50mg child

 

  • Explain what the variables in the formula represent and show all steps in the computations.
     
  • Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
    • Literal equation
    • Formula
    • Solve
    • Substitute
    • Conditional equation

 

Your initial post should be 150-250 words in length. Respond to at least two of your classmates’ posts by Day 7. Do you agree with how your classmates used the vocabulary? Do the mathematical results seem reasonable?

 

Subject Mathematics
Due By (Pacific Time) 04/20/2015 12:00 am
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