Question

if a thermometer reads freezing point of water as 20 degree celcius and boiling point as 150degree celcius , how much thermometer read when the actual temperature is 60 degree celcius?

Answer 1

Let,

P = Ax + B

When x = 0 ^oC, P = 20 ^oC

=> 20 = 0 + B

=> B = 20

When x = 100 ^oC, P = 150 ^oC

=> 150 = 100A + 20

=> A = 1.3

Now, when x = 60 ^oC,

P = Ax + B

=> P = (1.3)(60) + 20

=> P = 98 ^oC