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NeX [460]
4 years ago
8

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

he 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) = _______________ ?
Physics
1 answer:
Mkey [24]4 years ago
3 0

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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