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

Answer:

X = 27 .

Explanation:

Centigrade scale : melting point O⁰C , boiling point 100⁰C

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

Formula relating the two scale

$\frac{C- 0 }{100-0} =\frac{X-(-45)}{115-( -45) }$

$\frac{C }{100} =\frac{(X+45)}{(115 +45) }$

$\frac{C }{100} =\frac{(X+45)}{160}$

Given C = 45

X = ?

$\frac{45 }{100} =\frac{(X+45)}{160}$

X + 45 = 72

X = 27 .