The citizens of a new country proposed a new temperature scale called NTS scale. On the said scale, the ice and steam points of water have temperature 20°T and 50°T respectively. What will the room temperature of 30°c read on the NTS scale?
By the way, I call that Algebra not geography :)
NTS = m C + b
20 = m * 0 + b
so b = 20 and NTS = m C + 20
50 = m * 100 + 20
so m = 30/100 = 0.30
so
NTS = 0.30 C + 20
if C = 30
NTS = 0.30 * 30 + 20 = 29
To find the reading of 30°C on the NTS scale, we need to convert the given temperature from Celsius to the NTS scale.
Let's denote the reading on the NTS scale as °NTS.
From the given information, we know that on the NTS scale, the ice and steam points of water are represented by 20°T and 50°T respectively.
First, we need to calculate the difference between the ice and steam points on the NTS scale, which is 50°T - 20°T = 30°T.
Now, we can calculate the temperature conversion factor by dividing the difference between the two scales by the difference between the ice and steam points on the Celsius scale.
Temperature conversion factor = 30°T / 100°C = 0.3°T/°C
To find the reading on the NTS scale for 30°C, we multiply the temperature in Celsius by the temperature conversion factor:
°NTS = 30°C * 0.3°T/°C
°NTS = 9°T
Therefore, the 30°C room temperature will read as 9°T on the NTS scale.