Derive a math expression for converting between degrees C and degrees A? Please look at details for more info.

Ethylene glycol is the main component in car antifreeze. To monitor the temperature of an auto cooling system you decide to develop a new temperature scale that reads from 0 to 100. Your new thermometer scale is vased on the melting and boiling points of antifreeze solution (-45 degrees C and 115 degrees C) and you want these correspond to 0 degrees A and 100 degrees A, respectively. Please tell me how you derive to the answer, not just the answer

Derive a math expression for converting between degrees C and degrees A? Please look at details for more info.
The range -45 C to +115 C is 160 degrees celcius, therefore the ratio of C to A is 1.6 to 1. Given that the A scale starts at zero and the bottom of the C range starts at -45, you'll need to offset any C numbers by +45 to avoid any negative A numbers. This means that if you take any C value, add 45 to it and divide by 1.6, you'll get the equivalent A value.


So, the expression is A=(C+45)/1.6





Let's try it out:


If C is -45, A is (-45+45)/1.6 = 0


If C is 115, A is (115+45)/1.6=100


If C is 0, A is (0+45)/1.6=28.125
Reply:scale A 0 to 100 is equivalent to -45 to 115 deg C


100 units on A = 160 units on C





deg A = (deg C+45)/1.6 = 0.625(deg C + 45) = 5/8 (deg C + 45)





deg C = 8/5 (deg A) -45
Reply:Oh shhit im soo bad in maths.
Reply:from -45 to 115 = 160 100 for Celsius


so there are 8/5 as ,many degrees in A


A=8/5C-45


C=5/8(45+A)