# MATH UNIT 3

This Discussion topic has multiple parts. Please read and give a thorough response to each part.

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Original Post

1. Write and post a real world word problem that can be solved using a linear equation in one variable. All of the information necessary to solve the equation must be included in your problem. For examples of such problems, see Exercises 29-48 in Section 6.4 on pages 318 and 319 of your textbook. Feel free to use one of these problems as a model, but you must change names, numbers, details, etc. to make the problem your own…

2. Use the Procedure To Solve a Word Problem given in Section 6.4 on page 315 of your textbook to write a complete solution to your problem. You only need to complete steps 1 through 6. You do not need to check your solution. See Example 1 on page 315 and use it as a guide.

Note: there is a very helpful example in Doc Sharing on how to take an example and build a similar one to it to use in your post.

Example: A rug cleaning service charges a flat fee of \$35.00 and a per room fee of \$28.00. If the Morgan’s bill was \$175 before taxes, how many rooms did they have cleaned?

You are being asked to find the number of rooms that were cleaned.
Let r = the number of rooms being cleaned.
If r is the number of rooms being cleaned, then \$28.00r would be the cost of cleaning r rooms.
Flat fee + cost of cleaning r rooms = total bill
\$35 + \$28r = \$175
Now solve the equation.
35 + 28r = 175
35 – 35 + 28r = 175 – 35
28r = 140
r = 5

Since r is the number of rooms that were cleaned, you know that the Morgan’s had the rugs in 5 rooms cleaned.

First Response to a Classmate

3. Find a classmate’s problem and solution that has NOT already been checked by a classmate. Show all steps in your check and explain each step as you go. Example 1 on page 315 is one example of a thorough check. If the classmate’s equation does not check, tactfully let the classmate know.

Example: The total bill is the flat fee plus the per room charge. Total bill = flat fee + per room charge
……. = \$35 + \$28(5)
……. = 35 + 140
……. = \$175

The solution to the problem checks.

Second Response to a Classmate

4. Find at least one other post to comment on. Make sure your comments are substantive and advance the Discussion. Do not check a second classmate’s equation. Each of your classmates will also need to check a problem. You can look for opportunities to help another student, give advice on solving a problem a different way, or offer any other substantive comment.

STUDENT 1

 Leo works in the sales department of a gaming company earning a salary of \$800 per week. He also receives a 12% commission on the total amount of sales he makes. What must his total sales be in a week if he is to make a total of \$1248? Must find the total amount of sales made that week. Total amount of sales for the week.  Sales = s \$800 + 12%(s) = \$1248 800 + .12s = 1248 800 – 800 + .12s = 1248 – 800 .12s = 448 .12s/.12 = 448/.12 = 3733.33 Total Sales = \$3,733.33

STUDENT 2
Flea Market Candles by Barbara

Barbara is selling homemaid candles at the local flea market. Determine the cost of a Jar candle before tax if the total cost is \$16.50, including a 10% tax.

Let C=cost of the candle before tax

Then 0.10=10% of the cost before tax

Cost of the candle before tax + tax on the candle=16.50

c+0.10c=16.50

1.10c=16.50

1.10/1.10c=16.50/1.10

c=15.00

Therefore the candle cost 15.00 before sales tax.

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