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Temperatures and traveling When U.S. citizens travel abroad, they need some understanding of Celsius temperature readings-does one need mittens if the temperature will be ? A quick conversion formula often used by tour guides to give a rough Fahrenheit equivalent for a Celsius reading is
The exact conversion formula relating these readings is
(a) At what temperatures, Fahrenheit and Celsius, do these formulas agree?
(b) As the Celsius temperature rises above the reading found in part (a), does the tourist formula overestimate or underestimate the actual Fahrenheit temperature? How can you tell this from the two given formulas?
In this question, we will first calculate the slope using the following formula:
and are two fixed points on the line.
Then, we will put the value of the slope, , in the point-slope form given below and compute the line equation:
where, is a fixed point on the line.
[Note: We can use any of the two points given in equation .]
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