Chris Gillespie

#$&*

course Mth 164

8/27 10

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)

8 dollars/ hr * the 4 hours worked = $32

Confidence rating- 3

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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?

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

$168 (total amount made)/ 12 (hours worked) = $14 /hr (amount per hour)

Confidence rating- 3

&#Many students, with the best of intentions, remove what appear to be unnecessary lines from submitted documents. However it's best not to do so.For example, I believe this document includes #$&* marks, which are placed so as to follow your responses. I require these marks to quickly locate your responses, which will otherwise be hidden to me with a mass of text. With an average of several hundred pages of text every day, I really need those marks to be there.
One basic principle for submitting documents is that you should never remove anything from the original document. Insert your responses in the indicated places (always in the lines preceding the #$&* marks).
If I haven't asked you to resubmit, it means that I was able to find most of your responses within a reasonable time, and I only ask that you follow these guidelines in future submissions. If you think I've missed anything in reviewing this document, you're welcome to insert a line below each of your responses, containing just the #$&* marks, and I'll be more than happy to look over it again.
Thanks. &#

#$&*

Chris Gillespie

#$&*

course Mth 164

8/27 10

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

8 dollars/ hr * the 4 hours worked = $32

Confidence rating- 3

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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?

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

$168 (total amount made)/ 12 (hours worked) = $14 /hr (amount per hour)

Confidence rating- 3

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Question: `q003 If you are earning 8 dollars / hour, how long will it take you to earn $72? The answer may well be obvious, but explain as best you can how you reasoned out your result.

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

If you divide out the total amount earned ($72) by the rate per hr. ($8 / per hour) you equal the length of time it will take to earn the total amount ($72) = 9 hours

Confidense rating- 3

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Question: `q004. Calculate (8 + 3) * 5 and 8 + 3 * 5, indicating the order of your steps. Explain, as best you can, the reasons for the difference in your result

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

[(8+3)*5, 11 * 5, 55]

[8 +3 *5, 8 + 15, 23]

In math you use order of operations in which u use PEMDAS as the order. This causes the differences in the results.

Confidence rating- 3

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Question: `q005. Calculate (2^4) * 3 and 2^(4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates raising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.

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Your solution:

[ (2^4) * 3, 16*3, 48]

[ 2^ (4*3), 2^ 12, 4096]

In math you use order of operations in which u use PEMDAS as the order. This causes the differences in the results.

Confidence rating – 3

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Question: `q006. Calculate 3 * 5 - 4 * 3 ^ 2 and 3 * 5 - (4 * 3)^2 according to the standard order of operations, indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results.

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Your solution:

[3 * 5 - 4 * 3 ^ 2, 3 * 5 – 4 * 9, 15- 36, -21]

[3 * 5 - (4 * 3)^2, 3 * 5 – 12^2, 3 * 5 – 144, 15 – 144, -129]

In math you use order of operations in which u use PEMDAS as the order. This causes the differences in the results.

Confidence rating – 3

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Question: `q007. Let y = 2 x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).

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Your solution:

When the x coordinate is -2, you plug in -2 for the x into the equation (y= 2(-2) +3, y= -1) which is your y coordinate. You repeat this process for x = -1, 0, 1, 2 which yields the results (y= 1,3,5,7) after getting these ordered pairs your can plot your graph which is a positive straight linear line.

Confidence rating – 3

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Question: `q008. Let y = x^2 + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).

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Your solution:

When the x coordinate is -2, you plug in -2 for the x into the equation ( y= (-2)^2 + 3, y =7) which is your y coordinate. You repeat this process for x = -1, 0, 1, 2 which yields the results (y=7,4,3,4,7) after getting these ordered pairs your can plot your graph which is a positive parabola that doesn’t touch the x axis and its lowest point is at 0,3.

Confidence rating – 3

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Question: `q009. Let y = 2 ^ x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).

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Your solution:

When the x coordinate is 1, you plug in 1 for the x into the equation (y= 2^(1) +3, y= 5) which is your y coordinate. You repeat this process for x = 2,3,4 which yields the results (y= 7,11,19) after getting these ordered pairs your can plot your graph which is a positive exponential graph.

####. I didn’t include the actual equation where I implemented the equation or say that it was going from left to right.

Confidence rating – 3

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Question: `q010. If you divide a certain positive number by 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?

Your solution:

No, this is the identity function of any integer, if you multiply or divide by 1 in any circumstance the original number remains and doesn’t change.

Confidence rating – 3

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Question: `q011. If you divide a certain positive number by a number greater than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?

Your solution:

If you divide any positive number by a number greater than 1, the result will always yield a smaller number. If you divide by 1 you end up with the same number as originally started with. So as you denominator increases, you will out come will continue to decrease.

Confidence rating – 3

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Question: `q012. If you divide a certain positive number by a positive number less than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?

Your solution:

If you divide any positive number by a positive number less than 1, the result will always yield a larger number. If you divide by 1 you end up with the same number as originally started with. So as you divide by a positive denominator less than that 1, but greater than 0 your outcome will always be grater than the original number.

Confidence rating – 3

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Question: `q013. Students often get the basic answers to nearly all, or even all these questions, correct. Your instructor has however never seen anyone who addressed all the subtleties in the given solutions in their self-critiques, and it is very common for a student to have given no self-critiques. It is very likely that there is something in the given solutions that is not expressed in your solution.

Your solution:

On question 10, I didn’t include the actual equation where I implemented the equation or say that it was going from left to right.

&#I need to see the questions so I can be sure what your answers mean. Most of the time I can tell, but I'm dealing with information that comes in from over 1000 different files, containing a total of about 10 000 questions. While I'm familiar with the content and sequencing of the questions, having written them all, and know what I'm looking for, different students will answer these questions in different ways and I need to be able to relate your answers to the specific wording of each question. When reviewing my responses you will also need to be able to relate your answers and my comments to the specifics of the original document.
So it will be important for you on future documents to insert your responses into a copy of the original document, according to instructions, without otherwise changing any of the content of the original document. This will ensure you of the best possible feedback on your work. &#

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