Carolyn then calls her friend Chilly from the Super Cool Republic, where they use a different system of units. On their scale, the freezing

Question

Carolyn then calls her friend Chilly from the Super Cool Republic, where they use a different system of units. On their scale, the freezing point of water is 170, and the boiling point of water is 620. What should she say when Chilly asks her about the temperature in Rome? t(SC) = _______________ ?

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Lệ Thu 4 years 2021-08-24T17:52:39+00:00 1 Answers 17 views 0

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  1. Philomena
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    2021-08-24T17:54:14+00:00
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    Answer:

    T (SC) = 4.5 T (ºC) +170

    Explanation:

    In this case, the two friends use different systems to measure the temperature, so we must create a transformation relationship of the temperature in the new system.

    The temperature difference between the two states is

    number of divisions  on the new scale (620-170) = 450

    the number of divisions in centigrade is (100-0) = 0

    the relationship between these two divisions is

           m = 450/100

           m = 4.50

    the cut-off point in centigrade is zero and on the new scale it is 170

    whereby

          b=170

    therefore the transformation equation (equation of the line)

               y = m x + b

            T (SC) = 4.5 T (ºC) +170

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