#$&*
course Mth 151
1/11 at 10:18 a.m.
@&
This has been received. It appears you are doing everything right so far. Keep up the good work.
*@
#$&*
course mth 151
1/18 at 10:48 - 12:36.
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: 8 dollars an hour * 4 hours = 32 dollars made during that time
Self Critique: 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: you will be making 14 dollars an hour. You need to divide 168 by 12 to come to that answer.
Self Critique: ok
*********************************************
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.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: I divided 72 by 8 and come to the answer of 9 hours of work
Self Critique: ok
*********************************************
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.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (8+3) *5 =55 and 8+3*5 = 23
In the first problem you have to start with what is in parentheses (8+3) which will +equal 11 and then multiply by 5 so the solution to the first equation is 55. Whereas in the second equation you have to start with the multiplication side first 3*5 which will equal 15 and then add the 8 which will make the answer 23.
Self Critique: ok
*********************************************
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.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (2^4)*3 = 48 and 2^(4*3) = 4096
With the first equation you begin with what is in the parenthesis (2^4) which is the same as 2*2*2*2 will equal 16 and then you multiply by 3 to get the answer of 48. The second equation follows the same as the first, do what is in parenthesis first (4*3) which is 12 and then you have 2^12 which is the same as 2*2*2*2*2*2*2*2*2*2*2*2 which gives you the answer of 4096.
Self-critique: ok
*********************************************
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.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: 3*5 - 4*3^2 = 3*5 - (4*3)^2
15 - 4 *9 = 15 - 12^2 =
15 - 36 = -21 15 - 144 = -129
Self-critique: ok
*********************************************
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: I was able to find out the values for y using the equation given: y = 2(x) +3
Self critique: 2: I understood how to use the equation to find the values of y but I do not know how to plot them on a graph.
*********************************************
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: I could easily solve for y using the equation given y= x^2 +3
Self Critique: 2: I do not know how to plot those on a graph
*********************************************
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: I was able to find out the values for y using the equation given: y = 2^x+3
Self critique: 2: I understood how to use the equation to find the values of y but I do not know how to plot them on a graph.
*********************************************
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?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: I believe it is equal to the original number and because any number divided by 1 is the number you have at the beginning. Ex. 12 /1 = 12
Self critique: ok
*********************************************
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?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: It would be less than the original number. Ex. 12 / 2 = 6
Self Critique: ok
*********************************************
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?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: you would get a result of something greater than the original number.
Ex. 12 / .5 =24
Self Critique: ok
*********************************************
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.
Answer: I understood how to reach the correct answer on the majority of the questions. It was plotting things on the graphs that I did not know how to do. I read through the answers and still didn't understand what needed to be done.
"
@& Instructions request that you insert your responses into a copy of the original web document. You appear to have eliminated some of the text from the original document.
The original text includes certain strings of characters that allow me to efficiently isolate your insertions from the rest of the text, allowing me to review much more student work, much more accurately, than would otherwise be possible.
These and other characters are also used as triggers in collecting databases of student responses, and in some instances the lack of these characters can cause your document not to post at all.
If so requested below, you should resubmit this document, and insert your responses into a complete, unaltered copy of the original document. If you are not specifically requested to do so on this document, it won't be necessary, but you should follow this practice on all future submissions.
It is also possible that you have submitted other documents in which you have removed information from the original, rather than inserting your responses into an unaltered copy of the document. If this is the case, you should resubmit those documents, with your responses copied into complete copies of the originals.
*@
@& 'I haven't been able to review this document as thoroughly as usual, but from what can easily locate you appear to understand.
You are welcome, if you wish, to insert your answers into a complete copy of the document and resubmit it, but if you understand everything this won't be necessary.*@