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course Phy 201
June 4 at 2:06
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: (type in your solution starting in the next line)
If I get 8 dollars per hour I work and I work 4 hours that day, then I multiple 8 times 4 to get the amount of money I earned for the day.
confidence rating #$&*: 3
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Self-critique: Ok
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Question: `q002. If you work 12 hours and earn $168, then at what rate, in dollars / hour, were you making money?
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Your solution: (type in your solution starting in the next line)
If I earned 168 dollars after working 12 hours, then I will divide 168 by 12 to get the dollars/hour I was making, which is 14.
confidence rating #$&*: 3
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Self-critique: Ok
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Question: `q003. If you are earning 8 dollars / hour, how long will it take you to earn $72? The answer may well be obvious, but explain as best you can how you reasoned out your result.
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Your solution: (type in your solution starting in the next line)
It will take 9 hours to make 72 dollars, if I make 8 dollars/hour because dividing the amount of money I make (72) by the money I get paid per hour is equivalent to 9.
confidence rating #$&*: 3
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Self-critique: 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: (type in your solution starting in the next line)
(8+3) *5 is 55 because of “order of operations” where you must begin in the parentheses first. So, you add 8+3 to get 11 and multiply that by 5. 8+3*5 is 23 because of “order of operations” where you must start with multiplication first. So, you multiple 3*5 first to get 15 and add 8.
confidence rating #$&*: 3
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Self-critique: Ok
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Question: `q005. Calculate (2^4) * 3 and 2^(4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates raising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.
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Your solution:
(2^4) *3 is equal to 48. First you must calculate 2 raised to the 4th power because it is in parentheses. Then you multiply what is in parentheses by 3 to get 48.
2^(4*3) is equal to 4096. First you must multiply what is in parentheses first which equals 12. Then you raise 2 to the 12th power to get 4096.
confidence rating #$&*: 3
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Self-critique: 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 - 4 * 3 ^ 2 is equal to -21. First you must square 3, which is 9. Then you multiply that by -4, which is -36. Next ,you multiple 3*5 to get 15. Then you add 15 to -36 to get -21.
3 * 5 - (4 * 3)^2 is -129. First you multiple what is in parentheses first and you get 12. Then you square 12 and get 144. Next, you multiple 3*5 to get 15. Finally, you subtract 15 from 144 and you are left with -129
confidence rating #$&*: 3
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Self-critique: Ok
### Make sure you do no lose the negative sign that is before the 4 in the equation 3*5-4*3^2 because that could through off your final answer. Possibly consider distributing the negative sign through so that it looks like this 3*5 + (-4) * 3^2
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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
To get the y value when x is = -2. You substitute -2 for the x in the equation of y= 2x +3. So, first you multiply 2 by -2 and then add 3 to it, which will give you the y value for x when it is at -2. To get the y value when x is any other number simply just plug the number into the x value spot and work out the equation and it will give you the y value, which is the step up I used to complete the table chart.
The graph for this equation is a positive linear graph. It hits on the y axis 1 time and it is moving in an upward direction when looked at going left to right in a straight pattern.
Self-critique: 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
To find the value of y if x is at -2, you must plug -2 in for x in the equation making sure you add parentheses around the -2. Then you square -2 and add 3 which will give you 7.
The graph depicted is a positive parabola. It is “U” shaped with the parabola touching the y axis at 3.
confidence rating #$&*: 3
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Self-critique: 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 5
2 7
3 11
4 19
To find the value of y if x is at 1, you must plug 1 in for x in the equation. Then you have to raise 2 to the first power. Next you add 3 and that gives you the y value when x is at 1.
The graph is similar to that of exponential graph. It is moving up left to right; however, it increase drastically.
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Self-critique Rating: 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:
The answer to this question will be equal to the original number
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Self-critique Rating: 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 would be less than the original number because dividing a number usually causes the number to become smaller.
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Self-critique Rating: 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:
The result would be greater than the original number.
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Self-critique Rating: Ok
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Question: `q013
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Your solution:
### Make sure you do no lose the negative sign that is before the 4 in the equation 3*5-4*3^2 because that could through off your final answer. Possibly consider distributing the negative sign through so that it looks like this 3*5 + (-4) * 3^2
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Self-critique (if necessary):
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Self-critique rating:
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