#$&*
course Math 158
August 23, 2010 @ 8:05pm
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 dollar/hour * 4 hours = 32 dollars
3
Ok
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Question: `q002. If you work 12 hours and earn $168, then at what rate, in dollars / hour, were you making money?
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Your solution: (type in your solution starting in the next line)
168 dollrars/12 hours = 14 dollars/hour
3
Ok
"
&#I need to see the questions so I can be sure what your answers mean. Most of the time I can tell, but I'm dealing with information that comes in from over 1000 different files, containing a total of about 10 000 questions. While I'm familiar with the content and sequencing of the questions, having written them all, and know what I'm looking for, different students will answer these questions in different ways and I need to be able to relate your answers to the specific wording of each question.
When reviewing my responses you will also need to be able to relate your answers and my comments to the specifics of the original document.
So it will be important for you on future documents to insert your responses into a copy of the original document, according to instructions, without otherwise changing any of the content of the original document.
This will ensure you of the best possible feedback on your work. &#
#$&*
#$&*
course Math 158
First part of orientation. I have requested an access code but have not received it yet.Submitted on 8/28 at 9:30PM
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: 3
8 dollar/hour * 4 hours = 32 dollars
Ok
*********************************************
Question: `q002. If you work 12 hours and earn $168, then at what rate, in dollars / hour, were you making money?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: 3
168 dollrars/12 hours = 14 dollars/hour
Ok
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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: 3
72 dollars/8 dollars per hour = 9 hours
Ok
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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 results.
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Your solution: 3
Using the order of operations(PEMDAS)anything in parenthesis should be done first so in the first problem you should add 8+3 = 11 and 11*5 = 55. In the second problem using the order of operations you would multiply 3*5 = 15 and then add 8 = 23.
Ok
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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: 3
(16)*3=48 and 2^12=4096 Using the order of operations(PEMDAS)anything in parenthesis should be done first.
Ok
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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
In the first problem using the order of operations the exponents should be calculated first. 3^2 = 9, then multiplication: 3*5 =15 and -4*9=-36, next perform subtraction: 15-36=-21
The second problem perform calculations in parenthesis 4*3 =12 and then the exponent: 12^2 = 144. Next perform multiplication: 3*5 =15 and then subtraction: 15-144 = -129.
Ok
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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).
Evaluate y for x = -2. What is your result? In your solution explain the steps you took to get this result.
Evaluate y for x values -1, 0, 1 and 2. Write out a copy of the table below. In your solution give the y values you obtained in your table.
x y
-2 -1
-1 1
0 3
1 5
2 7
Sketch a graph of y vs. x on a set of coordinate axes resembling the one shown below. You may of course adjust the scale of the x or the y axis to best depict the shape of your graph.
In your solution, describe your graph in words, and indicate which of the graphs depicted previously your graph most resembles. Explain why you chose the graph you did.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: 3
x y
-2 -1
-1 1
0 3
1 5
2 7
This equation is linear.
OK
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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).
Evaluate y for x = -2. What is your result? In your solution explain the steps you took to get this result.
Evaluate y for x values -1, 0, 1 and 2. Write out a copy of the table below. In your solution give the y values you obtained in your table.
x y
-2 7
-1 4
0 3
1 4
2 7
Sketch a graph of y vs. x on a set of coordinate axes resembling the one shown below. You may of course adjust the scale of the x or the y axis to best depict the shape of your graph.
In your solution, describe your graph in words, and indicate which of the graphs depicted previously your graph most resembles. Explain why you chose the graph you did.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: 3
x y
-2 7
-1 4
0 3
1 4
2 7
This equation is Quadratic or parabolic.
Ok
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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).
Evaluate y for x = 1. What is your result? In your solution explain the steps you took to get this result.
Evaluate y for x values 2, 3 and 4. Write out a copy of the table below. In your solution give the y values you obtained in your table.
x y
1 5
2 7
3 11
4 19
Sketch a graph of y vs. x on a set of coordinate axes resembling the one shown below. You may of course adjust the scale of the x or the y axis to best depict the shape of your graph.
In your solution, describe your graph in words, and indicate which of the graphs depicted previously your graph most resembles. Explain why you chose the graph you did.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: 3
x y
1 5
2 7
3 11
4 19
This equation is Exponential.
Ok
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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?
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Your solution: 3
It will always be less than the original number.
Self-critique Rating - Even though it was intuitive that a number divided by a number greater than one will always be less than the original, I really didn’t know how to explain it. The answer given - Calculating examples and noting that if you split something up into equal parts, the more parts you have, the less will be in each one, helped me to prove and to understand the reason.
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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.
This doesn't mean that you did a bad job. If you got most of the 'answers' right, you did fine.
However, in order to better understand the process, you are asked here to go back and find something in one of the given solutions that you did not address in your solution, and insert a self-critique. You should choose something that isn't trivial to you--something you're not 100% sure you understand.
If you can't find anything, you can indicate this below, and the instructor will point out something and request a response (the instructor will select something reasonable, but will then expect a very good and complete response). However it will probably be less work for you if you find something yourself.
Your response should be inserted at the appropriate place in this document, and should be indicated by preceding it with ####.
As an answer to this question, include a copy of whatever you inserted above, or an indication that you can't find anything.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Question 12 - Even though it was intuitive that a number divided by a number greater than one will always be less than the original, I really didn’t know how to explain it. The answer given - Calculating examples and noting that if you split something up into equal parts, the more parts you have, the less will be in each one, helped me to prove and understand the reason."
&#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. &#
#$&*