First Two Questions

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course Mth 163

Here are the first two questions, per request.

There are 2 questions in this document, accompanied by some instructions. Copy this document into a word processor or text editor.

Answer the two questions posed in this document, inserting your answers, confidence assessments and self-critiques as explained.

• Solutions are given, but don't look at the solution to a question or problem until you have entered your answer.

• You will probably find that you can answer many of these questions without writing anything down.

• It is often helpful to sketch, doodle, jot down ideas, do calculations, organize and test ideas on paper. On those problems where you cannot arrive at an answer 'in your head', is recommended that you work out your solutions on paper.

When appropriate, you will later be encouraged to use a calculator to do any arithmetic you cannot do mentally. However the calculator is not appropriate to the questions that appear on this document. Put the calculator aside and think through these questions.

When you are finished you will submit your work according to the instructions at the end of this document.

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It is important that all the information in documents of this nature be submitted, so that all the information ends up posted at your page.

When submitting documents, do not delete anything from the original document. Insert your answers, questions, comments, etc. as indicated, but do not otherwise change the original document.

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Question: `q001. If you are earning money at the rate of 8 dollars / hour and work for 4 hours, how much money do you make during this time? Answer in such a way as to explain your reasoning as fully as possible. A solution to this problem appears several lines below, but enter your own solution before you look at the given solution.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: (type in your solution starting in the next line)

Simple answer would be $32.00 following the equation of 8*4=x in which x represents the total amount of money made working.

A different take on the question could also generate the answer of $27.20

Seeing as how taxes take 15% of your money, you really only make 85 %, thus

(8*4)*.85=x in which x is the money you actually get to spend

Confidence in Solution: 3

confidence rating #$&*: (Type in a number from 0 to 3, indicating your level of confidence in your solution.

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution

2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution

1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing

0 means that you're pretty sure you didn't get anything right)

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Given Solution: 8 dollars / hour means '8 dollars per hour', indicating that for every hour you work you earn 8 dollars. If you work for 4 hours, then if you earn 8 dollars for every one of those hours you earn 4 * 8 dollars = 32 dollars.

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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.

Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)

OK

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Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.

Otherwise evaluate the quality of your self-critique by typing in a number between 0 and 3.

• 3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.

• 2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand

• 1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand

• 0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)

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Question: `q002. If you work 12 hours and earn $168, then at what rate, in dollars / hour, were you making money?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: (type in your solution starting in the next line)

To find how much you make per hour you must divide the amount you made by the number of hours worked, thus you made $14.00 an hour following the equation of

168/12=x in which x represents the amount made per hour.

Again, another take on this question could also generate an answer of __ an hour if you are insinuating that the $168.00 is net, not gross. Since we know that tax is 15% and you worked 12 hours earning $168.00 total, we can follow the following formula to find the answer.

Hours worked times amount earned per hour then multiplied by .85 will give us total net income.

The equation reads as followed:

12x*.85=168

12x*.85 = 168

_______ ____

.85 .85

12x = 197.647

12x = 197.647

___ _______

12 12

x = $16.47

Confidence in Solution: 3

confidence rating #$&*: (Type in a number from 0 to 3, indicating your level of confidence in your solution.

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

3 means you are at least 90% confident of your solution, or that you are confident you got at least 90% of the solution

2 means that you are more that 50% confident of your solution, or that you are confident you got at least 50% of the solution

1 means that you think you probably got at least some of the solution correct but don't think you got the whole thing

0 means that you're pretty sure you didn't get anything right)

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Given Solution: $168 earned in 12 hours implies that $168 / 12 = $14 were made per hour, so the rate is $14 / hour.

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Self-critique (if necessary): (If you believe your solution matches the given solution then just type in 'OK'.

Otherwise explain in your own words how your solution differs from the given solution, and demonstrate what you did not originally understand but now understand about the problem and its solution.)

OK

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Self-critique Rating: (If you believe your solution matches the given solution then just type in 'OK'.

Otherwise evaluate the quality of your self-critique, using a number between 0 and 3.

3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.

2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand

1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand

0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)

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Self-critique (if necessary):

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Self-critique rating:

Otherwise evaluate the quality of your self-critique, using a number between 0 and 3.

3 indicates that you believe you have addressed all discrepancies between the given solution and your solution, in such a way as to demonstrate your complete understanding of the situation.

2 indicates that you believe you addressed most of the discrepancies between the given solution and your solution but are unsure of some aspects of the situation; you would at this point consider including a question or a statement of what you're not sure you understand

1 indicates that you believe you understand the overall idea of the solution but have not been able to address the specifics of the discrepancies between your solution and the given solution; in this case you would normally include a question or a statement of what you're not sure you understand

0 indicates that you don't understand the given solution, and/or can't make a reasonable judgement about whether or not your solution is correct; in this case you would be expected to address the given solution phrase-by-phrase and state what you do and do not understand about each phrase)

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Self-critique (if necessary):

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Self-critique rating:

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&#Good work. Let me know if you have questions. &#