Mathematics
Algebra - 2-3pg paper on Simplifying Expressions

### Question Description

I need an explanation for this Algebra question to help me study.

Read the following instructions in order to complete this discussion, and review the example , (Attached above) 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:
• 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.

### Unformatted Attachment Preview

INSTRUCTOR GUIDANCE 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 24 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 24 d = 500(6 + 1) I substituted 500 for D and 6 for a. 24 d = 500(7) Following order of operations I added inside parentheses first. 24 d = 3500 Following order of operations the multiplication comes next. 24 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 24 208 = 1000(a + 1) I substituted 1000 for D and 208 for d. 24 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) 24 4992 = 1000(a + 1) 4992 = 1000(a + 1) 1000 1000 Both sides are multiplied by 24 to eliminate denominator. Multiplication on left side is carried out. Divide both sides by 1000. 4.992 = a + 1 4.992 – 1 = a + 1 – 1 3.992 = a One more step and it will be solved. Subtract 1 from both sides to isolate a. We have solved for a. The dose of 208mg is intended for a four-year-old child. ...
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Ian N (109)
Cornell University
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