course mth 173
9/24/0911:47
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course mth 173
9/24/0911:59
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.
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Your solution: (type in your solution starting in the next line)
one hour equals 8 dollars so if your work four hours then 8*4= 32 dollars
ok
3-confidence
3-self-rating
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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)
you worked 12 hours and they paid you 168 dollars so to find out how much money you made take the total you got paid 168 and divide it by the number of hours you worked so the answer would be 168/12 which is 14 dollars a hour. too check your answer 14*12= 168
ok
3-confidence
3-self rating"
&#This looks good. Let me know if you have any questions. &#
course mth 173
9/24/0912:45
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)
to find the answer simply take 72 and divide it by 8 dollars(one hour equals 8 dolars) so 72/8 = 9 hours 9*8= 72
ok
3
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 results.
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Your solution: (type in your solution starting in the next line)
do parentheses first (8+3)= 11 then multiplication 11*5=55 and 3*5=15 because you do multiplicatiion first then add 8 so 15+8= 23
ok
3
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:
again you do parentheses first 2^4=2*2*2*2=16 then 16*3=48
then you do the parentheses first again 4*3=12 then 2^12=2*2*2*2*2*2*2*2*2*2*2*2=4096
ok
3
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 you do the 3^2 first which is 3*3=9 so then you have 3*5-4*9 so then you do the multiplication then you have 15-36 which is -21, we have a negative naswer
3 * 5 - (4 * 3)^2 do parentheses first 4*3=12 then 12^2=144 so then you have 3*5-144 so thats 15-144=-129 a negative number again
ok
3
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).
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
Let y = 2 x + 3 so for each x value you plug it into the equation and get a number for y
When x = -2, we get y = 2 x + 3 = 2 * (-2) + 3 = -4 + 3 = -1.
When x = -1, we get y = 2 x + 3 = 2 * (-1) + 3 = -2 + 3 = 1.
When x = 0, we get y = 2 x + 3 = 2 * (0) + 3 = 0 + 3 = 3.
When x = 1, we get y = 2 x + 3 = 2 * (1) + 3 = 2 + 3 = 5.
When x = 2, we get y = 2 x + 3 = 2 * (2) + 3 = 4 + 3 = 7.
so when you sketch your graph you get a straight line along the axis
ok
3
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).
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
Let y = x^2 + 3 so for each x value you plug it into the equation and get a number for y
x = -2 then we obtain y = x^2 + 3 = (-2)^2 + 3 = 4 + 3 = 7.
x = -1 then we obtain y = x^2 + 3 = (-1)^2 + 3 = ` + 3 = 4.
x = 0 then we obtain y = x^2 + 3 = (0)^2 + 3 = 0 + 3 = 3.
x = 1 then we obtain y = x^2 + 3 = (1)^2 + 3 = 1 + 3 = 4.
x = 2 then we obtain y = x^2 + 3 = (2)^2 + 3 = 4 + 3 = 7.
the graph will be a quadratic when you sketch it out
ok
3
2
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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
Let y = 2 ^ x + 3 so for each x value you plug it into the equation and get a number for y
x = 1 we obtain y = 2^1 + 3 = 2 + 3 = 5.
x = 2 we obtain y = 2^2 + 3 = 4 + 3 = 7.
x = 3 we obtain y = 2^3 + 3 = 8 + 3 = 11.
x = 4 we obtain y = 2^4 + 3 = 16 + 3 = 19.
the graph rises from left to right so its exponential
ok
3
2
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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?
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Your solution:
equal to the original number 2/1=2 4/1=4
ok
3
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?
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Your solution:
you will get a number smaller than the original number take the number 48
48/2=24
48/4=12
48/6=8
48/8=6
ok
3
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?
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Your solution:
less than the original but it has to be a positive number in order for it to work
ok
3
2
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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
questions 7-9 i understood the basic principle and how to do the work on paper but they are no way to the the work on the computer so i just put it in as you did i feel like i didnt really do the work but i got the right graphs and i feel the same about the graphs because i couldnt graph them out on the screen.####"
I need to see your description of the graphs, not the graphs themselves. You will soon get to an exercise on the language to use when describing graphs.
Your descriptions of the solutions on the earlier problems were good.
Note the following:
&#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 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. &#