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course Phy 241
9/3/13 11:45am
Question: 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: four hours * $8/hour = $32. Four times eight is 32, so that would be the amount you would make.
Confidence Assesment: 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: 12 hours of work earned you a total of $168. You would divide the amount you made by the total number of hours worked to see what you make an hour: $168 / 12 = $14; You would be making $14 an hour.
Confidence Assesment: 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.
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Your solution: As in the previous question, take the total earned, $72, and divide it instead by the hourly rate to find the time worked: $72 / $8 : 9; 9 hours
Confidence Assesment: 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.
Your solution: Parenthesis first, 8 + 3 is 11. Then you would multiply by 5: 55. In the seconf equation, you would do the multiplying first in the order of operations. 3 * 5 is 15, then you would add the 8: 23.
Confidence Assesment: 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: Parenthesis first always: 2^4 = 16 then multiply by 3 = 48. In the second equation you would multiple 4 * 3 first, 12, then raise two to the 12th power: 4096
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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; 3^2 = 9, then you would multiple before subtracting, (15) - (36) = -21
3 * 5 - (4 * 3)^2; Parenthesis then expotents in this one: 12^2 = 144; again multiple before subtracting - (15) - 144 = -129
Confidence Assesment: 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
0
1
2
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.
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Your solution: After pluggin geach, -2, -1, 0, 1, and 2, into the equation for x we get the results as follows. The graph we would see is linear, with both x and y coordinating in a positive manner.
x y
-2 -1
-1 1
0 3
1 5
2 7
Confidence Assesment: 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
-1
0
1
2
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.
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Your solution: Squaring each number given for x and adding 3 to the result gives us the answers below. The graph would be quadratic with a U-shaped curve.
x y
-2 7
-1 4
0 3
1 4
2 7
Confidence Assesment: 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
2
3
4
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.
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Your solution:We would calculate 2 raised to the power of each number we are presented with, and then add 3 to that. The graph we would see is exponential increasing slowly at first with larger leaps as the graph goes up.
x y
1 5
2 7
3 11
4 19
Confidence Assesment: 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?
Your solution: The answer remains the same as the original number; 0/1 = 0, 50/1 = 50, .75/1 = .75
Confidence Assesment: 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: The number resulted from dividing a certain positive number by a number greater than 1 will be less than that original number.
Confidence Assesment: 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?
Your solution: The number you get from dividing a positive number less than one will be larger the the original. 1/.75 = 1.33, 5/.43 = 11.63
Confidence Assesment: OK
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Self-critique (if necessary):
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Self-critique rating:
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