SOLUTION: You are an American exchange student planning to study in Florence, Italy, during the winter term. In preparation for your trip, you consult the Italian school�s Web site to find o

Question 168183This question is from textbook Strategies For Problem Solving Workbook
: You are an American exchange student planning to study in Florence, Italy, during the winter term. In preparation for your trip, you consult the Italian school�s Web site to find out what the temperature is likely to be. However, the daily weather is given in the Celsius scale. Use the table to find a way to convert temperatures from Celsius to Fahrenheit.
(WATER) {FAHRENHEIT scale} [CELSIUS scale]
(Freezes) {32 degrees} [0 degrees]
(Boils) {212 degrees} [100 degrees]
(a) What are some of the strategies you might use to find a solution to this problem?
(b) Graph the information by drawing coordinate axes with degrees Fahrenheit, (TF), along the y-axis and degrees Celsius, (TC), on the x-axis . Plot the information on freezing and boiling temperatures as points on the graph.
(c) Devise a plan for how to use your graph to determine a relationship between TF and TC that can be used to convert Celsius into Fahrenheit measurements. Explain your strategy,
(d) Execute your strategy and find a relationship between these two temperature scales.
(e) Explain what the straight line on the graph tells us about the relationship between the two temperature scales.
(f) In pure math, when we draw a straight line through two points, we put an arrow on each end of the line to indicate that it continues infinitely in both directions. Would it be accurate to add arrowheads to the ends of the lines in your graph? Explain.
(g) Is there a way to find the coordinates of the point on your graph that would be halfway between the freezing point and the boiling point of water? If so, how?
(h) After implementing your strategy, would you do anything differently if you were confronted with the same problem again? Explain. This question is from textbook Strategies For Problem Solving Workbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(WATER) {FAHRENHEIT scale} [CELSIUS scale]
(Freezes) {32 degrees} [0 degrees]
(Boils) {212 degrees} [100 degrees]
--------------------------------
(C,F) points: (0,32) and (100,212)
---------
slope: (212-32)/(100-0) = 180/100 = 9/5
---------
Intercept: 32 when C=0
------------
EQUATION:
F = (9/5)C + 32
====================
Cheers,
Stan H.
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