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course phy 121
6/6/13 10:15am
Taylor Whitaker*********************************************
Question: `q003. If you are earning 8 dollars / hour, how long will it take you to earn $72? The answer may well be obvious, but explain as best you can how you reasoned out your result.
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Your solution:
It will take you 9 hours to make 72 dollars. I found this answer by taking 72 and dividing it by 8.
confidence rating #$&*:
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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: the first solution is 55. I found this by using the order of operations, so I did the parenthesis first then multiplied it by 5. The second solution is 23. I found this by using the order of operations and doing the multiplication before doing the addition.
confidence rating #$&*:
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3
OK
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Question: `q005. Calculate (2^4) * 3 and 2^(4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates raising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.
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Your solution: the solution to the first question is 48. I found this by multiplying 2*2*2*2 then multiplying it by 3. The second solution is 4,096. I found this by multiplying what is in the parenthesis first then taking 2 and squaring it by 12.
confidence rating #$&*:
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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: I found the answer to the first question by first doing the exponent.. 3^2, which is 9. I then did the multiplication before doing the subtraction. The answer is -21. The second answer I found by first doing the parenthesis then taking 12 (the answer from the parenthesis) and raising it to 2. I then did the multiplication before doing the subtraction. My answer is -129
confidence rating #$&*:
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3
OK
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Question: `q007. Let y = 2 x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
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Your solution: if x= -2 then the answer is -1. I found this by multiplying 2 and -2 together then adding 3.
X Y
-2 -1
-1 1
0 3
1 5
2 7
The graph is linear because it goes in a fairly straight line through the points.
confidence rating #$&*:
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All correct
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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:
If x= -2 the answer would be 7. I found this by taking -2 and squaring it by 2 then adding 3.
X Y
-2 7
-1 4
0 3
1 4
2 7
I think the graph is Quadratic or parabolic because it starts high, goes down and goes back to the starting point on the other side because its positive. The graph is also identically symmetrical.
confidence rating #$&*:
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All correct.
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Question: `q009. Let y = 2 ^ x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
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Your solution:
If x=1 the answer is 5. I found this by plugging in the number to x then using it as an exponent and then adding 3.
X Y
1 5
2 7
3 11
4 19
I think the graph would be linear because it gradually increases in a linear manner.
confidence rating #$&*:
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The graph is actually an exponential. It increases from left to right but has a slight curve to it.
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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:
It will always result as the original number. I learned this in school, but you can check it by plugging in random numbers to check to see if the rule is true.
confidence rating #$&*:
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Correct
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Question:
`q011. If you divide a certain positive number by a number greater than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution:
I think it depends on the number because different numbers (high or low) will determine your answer and how much bigger or smaller it is from the starting number. Plug in questions to see if your answers fit your explanation.
confidence rating #$&*:
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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:
Once again, it depends on the number/situation.the smaller number you divide by the larger the answer.
confidence rating #$&*:
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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.
Self critique:
#8: I really didn’t understand in question 8 why it was a exponential graph and not a linear graph when I graphed it both times I got a linear graph because it gradually increased. I didn’t quite understand why it was more of a curve.
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Self-critique (if necessary):
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Self-critique rating:
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