Please explain step by step Week 2 - Discussion Formulas Read about Cowling’s Ru
ID: 3169394 • Letter: P
Question
Please explain step by step
Week 2 - Discussion
Formulas
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 your assigned number:
-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?
Formulas
Explanation / Answer
Question 92
b.800mg adult, 233mg child (calculate the child’s age)
Solution:
Cowling’s rule d= D(a+1)/24
where d = child's dosage
D = adult's dosage
a = age of child in years
a) d=400(5+1)/24
d=2400/24=100 mg is the childs dose
b) 233=800(a+1)/24
233=800a+800/24
233*24=800+800a
5592-800=800a
a= 5.99 is the childs age
Solution: d= D(a+1)/24
a) d=500(11+1)/24
d=6000/24=250 mg is the childs dose
b) 52=250(a+1)/24
52=250a+250/24
52*24=250+250a
1248-250=250a
a= 3.99 is the childs age
Solution: d= D(a+1)/24
a) d=1000(8+1)/24
d=9000/24=375 mg is the childs dose
b) 250=600(a+1)/24
250=600a+600/24
250*24=600+600a
6000-600=600a
a= 9 is the childs age
b.500mg adult, 187mg child
Solution: d= D(a+1)/24
a) d=75(6+1)/24
d=525/24=21.87 mg is the childs dose
b) 187=500(a+1)/24
187=500a+500/24
187*24=500+500a
4488-500=500a
a= 7.97 is the childs age
Solution of the rest has to be done on the similar lines