Throughout the world, the majority of countries use the centigrade scale rather than the F...

Throughout the world, the majority of countries use the centigrade scale rather than the Fahrenheit scale. This can cause problems for travelers not familiar with what to expect at certain temperature levels. To alleviate this problem, the following approximate conversion is typically used:

ºF = 2(ºC) + 30º

Comparing to the exact formula of we find the ratio 9/5 is approximated to equal 2, and the temperature of 32º is changed to 30º simply to make the numbers easier to work with and slightly compensate for the fact that 2(ºC) is more than 9/5(ºC).

a. The temperature of 20ºC is commonly accepted as normal room temperature. Using the approximate formula, determine (in your head) the equivalent Fahrenheit temperature.

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b. Use the exact formula and determine the equivalent Fahrenheit temperature for 20ºC.

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c. How do the results of parts (a) and (b) compare? Is the approximation valid as a first estimate of the Fahrenheit temperature?

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d. Repeat parts (a) and (b) for a high temperature of 30ºC and a low temperature of 5ºC.