Formulas

Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:

• 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 lastname starts with letterFor 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 Zadult dose 400mg ibuprofen; 5 year old child800mg adult, 233mg childC or Xadult dose 500mg amoxicillin; 11 year old child250mg adult, 52mg childE or V adult dose 1000mg acetaminophen; 8 year old child600mg adult, 250mg childG or T adult dose 75mg Tamiflu; 6 year old child500mg adult, 187mg childI or Radult dose 400mg ibuprofen; 7 year old child1200mg adult,200mg childK or P adult dose 500mg amoxicillin; 9 year old child100mg adult, 12.5mg childM or Nadult dose 1000mg acetaminophen: 6 year old child600mg adult, 200mg childO or L adult dose 75mg Tamiflu; 11 year old child1000mg adult, 600g childQ or J adult dose 400mg ibuprofen; 8 year old child500mg adult, 250mg childS or Hadult dose 500mg amoxicillin; 4 year old child300mg adult, 100mg childU or F  adult dose 1000mg acetaminophen; 3 year old child75mg adult, 12.5mg childW or Dadult dose 75mg Tamiflu; 5 year old child1200mg adult, 300mg childY or Badult dose 400mg ibuprofen; 2 year old child400mg 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 equationFormulaSolveSubstituteConditional equation

• First letter of my last name is B

INSTRUCTORGUIDANCE EXAMPLE: Week Two Discussion

[Please remember to use your own wording in your discussion. The writing here is

intended to demonstrate the type of writing that is appropriate for a math discussion, and

not intended for students to copy.]

For this discussion we are to use Cowling’s Rule to determine the child sized dose of a

particular medicine. Cowling’s Rule is a formula which converts an adult dose into a

child’s dose using the child’s age. As in all literal equations this one has more than one

variable, in fact it has three variables. They are

a = child’s age The formula is d = D(a + 1)

D = adult dose

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d = child’s dose

I have been assigned to calculate a 6-year-old child’s dose of amoxicillin given that the

adult dose is 500mg.

d = D(a + 1) The Cowling’s Rule formula

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d = 500(6 + 1) I substituted 500 for D and 6 for a.

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d = 500(7) Following order of operations I added inside parenthesis first.

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d = 3500 Following order of operations the multiplication comes next.

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d = 145.833… The division is the last step in solving for the child’s dose.

The proper dose of amoxicillin for a 6-year-old child is 146mg.

The next thing we are to do for this discussion is to determine a child’s age based upon

the dose of medicine he has been prescribed. The same literal equation can be used, but

we will just be solving for another of the variables instead of d. This time the adult dose

is 1000mg and the child’s dose is 208mg. I need to solve for a.

d = D(a + 1) The Cowling’s Rule formula
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208 = 1000(a + 1) I substituted 1000 for D and 208 for d.

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It should be noted that once both values have been substituted in, the result is a

conditional equation for which there is only one possible value for a to make it true.

208(24) = 1000(a + 1)(24) Both sides are multiplied by 24 to eliminate denominator.

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4992 = 1000(a + 1) Multiplication on left side is carried out.

4992 = 1000(a + 1) Divide both sides by 1000.

1000 1000

4.992 = a + 1 One more step and it will be solved.

4.992 – 1 = a + 1 – 1 Subtract 1 from both sides to isolate a.

3.992 = a We have solved for a.

The dose of 208mg is intended for a four-year-old child.