course Phy 201
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: If working and receiving a rate of 8 dollars / hour for 4 hours, I will make 32 dollars. This is because 8 * 4 equals 32.
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: If working 12 hours and receiving $168, then I will have made $14 / hour. This is because $168 / 12 = $14.
3
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: If working and earning 8 dollars / hour, it will take 9 hours to receieve $72. (3, 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: (8 + 3) = 11, then 11 * 5 = 55, so the answer is 55 to part 1. In part 2 of this question, 3 * 5 = 15, then 15 + 8 = 23, so the answer is 23. (3, 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: (2^4) = 16, then 16 * 3 = 48, so the answer is 48 in part 1. In part 2 of this question, 4 * 3 = 12, so 2^12 = 4096. The difference in these answers specifically deals with the position of the parenthesis. 2^4 is different then 2^12. (3, 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 * 5 = 15, so 15 - 4 * 9 = 15 - 36, or -21. In part 2 of this question, 3 * 5 = 15 and (4 * 3)^2 = 12^2, or 144, so 15 - 144 = -129. (3, OK)
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Question: `q007. Let y = 2 x + 3.
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
In question 7, the graph would most likely represent the linear graph, in which a straight line moves in a positive direction up the graph. (3, 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
In question 8, the graphy would most likely represent the parabolic graph, in that the line bends down from (-2,7) towards (0, 3 - the lowest point), and bends back up towards (2,7).
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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
As we move down the chart, the numbers in the ""y"" column are increasing significantly. If the numbers in the ""x"" column were to continue, the numbers would increase and rise even faster. As a result, this graph represents the exponential graph, in that it bends and rises up quickly. (3, OK)
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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: Any positive number that is divided by 1 will equal the original number. Nothing will change this rule. (3, 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: When dividing a postive number by a number greater than 1, it will always result in a number less than the original number. (3, OK)
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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: When dividing a positive number by a number less than 1, it will always result in a number more than the original number. (3, OK)
#### For this question, I chose 1 as my certain positive number which was a poor choice. As a result, I seemed rather confused, but figured out what I was doing wrong as I used a larger number than 1. "
You appear to have removed the lines related to confidence rating, given solution and self-critique.
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