temperature scales......please help!?

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 the Celsius to the Fahrenheit scale.

I. Understand the Problem

Read the problem carefully. It may be helpful to underline the key pieces of information that you need to solve the problem. Be sure that you understand exactly what problem you are asked to solve.

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II. Devise a Plan

(a) What are some of the strategies you might use to find a solution to this problem?

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(b) Graph the information by drawing coordinate axes with degrees Fahrenheit, TF, along they-axis and degrees Celsius, TC, on the x-axis. Plot the information on freezing and boiling temperatures as points on the graph.

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(c) Devise a plan for how to use your graph to determine a relationship between TF TC that can be used to concert Celsius into Fahrenheit measurements. Explain your strategy.

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III. Carry Out the Plan

(d) Execute your strategy and find a relationship between these two temperature scales.

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(e) Explain what the straight line on the graph tells us about the relationship between the two temperature scales.

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(f) In pure mathematics, 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.

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(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?

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IV. Look Back

(h) After implementing your strategy, would you do anything differently if you were confronted with the same problem again? Explain.

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