If your solution to stated problem does not match the given solution, you should self-critique per instructions at http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm.

 

Your solution, attempt at solution. If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do or do not understand about it. This response should be given, based on the work you did in completing the assignment, before you look at the given solution.

 

008. `query 8

Question: `qWhat functions f(z) and g(t) express the function 2^(3t-5) as a composite f(g(t))?

 

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Given Solution:

`aCORRECT STUDENT RESPONSE: f(z)=2^z and g(t)=3t-5, so that f(g(t)) = 2^g(t) = 2^(3t-5).

 

 

Self-critique (if necessary):

 

 

 

 

 

 

 

 

 

 

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Question: `q1.3.81 (was 1.3.66 temperature conversion. What linear equation relates Celsius to Fahrenheit?

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Confidence Rating:

 

Given Solution:

`aCORRECT STUDENT RESPONSE: degrees Fahrenheit=1.8(degrees Celsius)+32, or F = 1.8 C + 32.

 

INSTRUCTOR COMMENT:

 

Since each Fahrenheit degree is 1.8 Celsius degrees a graph of F vs. C will have slope 1.8. Since F = 32 when C = 0 the graph will have vertical intercept at (0, 32) so the y = m x + b form will be F = 1.8 C + 32.

 

Self-critique (if necessary):

 

 

 

 

 

 

 

 

 

 

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Question: `qHow did you use the boiling and freezing point temperatures to get your relationship?

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Given Solution:

`a A graph of Fahrenheit vs. Celsius temperatures gives us the two (x,y) points (o,32) and (100,212).

 

We use these two points to find the slope m=(y2-y1)/(x2-x1) = (212 - 32) / 100 = 1.8.

 

Now we insert the coordinates of the point (0,32) and into the point-slope form y = 1.8 x + b of a line to get 32 = 1.8 * 0 + b. We easily solve to get b = 32.

 

{So the equation is y = 1.8 x + 32, or F = 1.8 C + 32. **

 

 

 

Self-critique (if necessary):

 

 

 

 

 

 

 

 

 

 

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