Question

Ethylene glycol is the main component in automobile antifreeze. To monitor the temperature of an auto cooling system, you intend to use a meter that reads from 0 to 100. You devise a new temperature scale based on the approximate melting and boiling points of a typical antifreeze solution (-45oC and 115oC). You wish these points to correspond to 0oA and 100oA, respectively. What is a temperature of 45oC in oA

Answer 1

X = 27 .

Step-by-step explanation:

Centigrade scale : melting point O⁰C , boiling point 100⁰C

New scale melting point -45⁰C , boiling point 115⁰C

Formula relating the two scale

`(C- 0 )/(100-0) =(X-(-45))/(115-( -45) )`

`(C )/(100) =((X+45))/((115 +45) )`

`(C )/(100) =((X+45))/(160)`

Given C = 45

X = ?

`(45 )/(100) =((X+45))/(160)`

X + 45 = 72

X = 27 .