Math 221 Intro to Algebra Week 2 DQ 1
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).
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.
SOLVE:
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? |
Solve parts (a) and (b) of the problem using the following details indicated for your assigned number:
If your assigned number is | 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. |
adult dose 400mg ibuprofen; 5 year old child | 800mg adult, 233mg child | |
adult dose 500mg amoxicillin; 11 year old child | 250mg adult, 52mg child | |
3 | adult dose 1000mg acetaminophen; 8 year old child | 600mg adult, 250mg child |
adult dose 75mg Tamiflu; 6 year old child | 500mg adult, 187mg child | |
adult dose 400mg ibuprofen; 7 year old child | 1200mg adult,200mg child | |
adult dose 500mg amoxicillin; 9 year old child | 100mg adult, 12.5mg child | |
7 | adult dose 1000mg acetaminophen: 6 year old child | 600mg adult, 200mg child |
adult dose 75mg Tamiflu; 11 year old child | 1000mg adult, 600mg child | |
adult dose 400mg ibuprofen; 8 year old child | 500mg adult, 250mg child | |
10 | adult dose 500mg amoxicillin; 4 year old child | 300mg adult, 100mg child |
11 | adult dose 1000mg acetaminophen; 3 year old child | 75mg adult, 12.5mg child |
12 | adult dose 75mg Tamiflu; 5 year old child | 1200mg adult, 300mg child |
13 | adult dose 400mg ibuprofen; 2 year old child | 400mg adult, 50mg child |
14 | adult dose 400mg ibuprofen; 3 year old child | 800mg adult, 200mg child |
15 | adult dose 500mg amoxicillin; 3 year old child | 250mg adult, 25 child |
16 | adult dose 1000mg acetaminophen; 5 year old child | 600mg adult, 300mg child |
17 | adult dose 75mg Tamiflu; 7 year old child | 500mg adult, 125mg child |
18 | adult dose 400mg ibuprofen; 11 year old child | 1200mg adult,400mg child |
19 | adult dose 500mg amoxicillin; 5 year old child | 100mg adult, 25mg child |
20 | adult dose 1000mg acetaminophen: 7 year old child | 600mg adult, 150mg child |
21 | adult dose 75mg Tamiflu; 3 year old child | 1000mg adult, 167mg child |
22 | adult dose 400mg ibuprofen; 9 year old child | 500mg adult, 200mg child |
23 | adult dose 500mg amoxicillin; 7 year old child | 300mg adult, 60mg child |
24 | adult dose 1000mg acetaminophen; 11 year old child | 75mg adult, 25mg child |
25 | adult dose 75mg Tamiflu; 4 year old child | 1200mg adult, 600mg child |
26 | adult dose 400mg ibuprofen; 1 year old child | 400mg adult, 80mg child |
27 | adult dose 200mg ibuprofen; 5 year old child | 800mg adult, 400mg child |
28 | adult dose 300mg amoxicillin; 11 year old child | 250mg adult, 100mg child |
29 | adult dose 600mg acetaminophen; 7 year old child | 600mg adult, 300mg child |
30 | adult dose 100mg Tamiflu; 3 year old child | 500mg adult, 300mg child |
31 | adult dose 200mg ibuprofen; 7 year old child | 1200mg adult,500mg child |
32 | adult dose 300mg amoxicillin; 5 year old child | 100mg adult, 33mg child |
33 | adult dose 600mg acetaminophen: 5 year old child | 400mg adult, 100mg child |
34 | adult dose 100mg Tamiflu; 11 year old child | 1000mg adult, 400mg child |
35 | adult dose 200mg ibuprofen; 3 year old child | 500mg adult, 167mg child |
36 | adult dose 300mg amoxicillin; 3 year old child | 225mg adult, 75mg child |
37 | adult dose 600mg acetaminophen; 3 year old child | 150mg adult, 60mg child |
38 | adult dose 100mg Tamiflu; 5 year old child | 1200mg adult, 240mg child |
39 | adult dose 200mg ibuprofen; 2 year old child | 750mg adult, 300mg child |
40 | adult dose 300mg amoxicillin; 7 year old child | 50mg adult, 30mg child |
41 | adult dose 800mg amoxicillin; 3 year old child | 300mg adult, 75mg child |
42 | adult dose 600mg acetaminophen; 5 year old child | 240mg adult, 60mg child |
43 | adult dose 200mg Tamiflu; 3 year old child | 960mg adult, 240mg child |
44 | adult dose 600mg ibuprofen; 2 year old child | 900mg adult, 300mg child |
45 | adult dose 300mg amoxicillin; 11 year old child | 120mg adult, 30mg 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