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) = _______________ ?

Answer 1

T (SC) = 4.5 T (ºC) +170

Step-by-step 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