Answer:
option d) is correct
Explanation:
Given:
C = (5/9)(F-32)
For statement I
C = (5/9)F - (5/9)32
let the initial temperature in Fahrenheit be 0
thus,
C = (5/9)(0) - (5/9)32 = - (5/9)32
for 1° increase in Fahrenheit
we get
C = (5/9)(1) - (5/9)32 = 1 - (5/9)32
thus,
on comparing the results, statement I is true
now for statement II
let the initial temperature in Celsius be 0
thus,
0 = (5/9)(F) - (5/9)32
or
F = (9/5)(5/9)32 = 32
for 1° increase in Celsius
we get
1 = (5/9)(F) - (5/9)32
or
(5/9)F = 1 + (5/9)32
or
F = (9/5) + 32
or
F = 1.8 + 32
thus,
on comparing the results, statement II is true
Now, for statement III
let the initial let the initial temperature in Fahrenheit be 0
thus,
C = (5/9)(0) - (5/9)32 = - (5/9)32 = - 17.77
for (5/9)° increase in Fahrenheit
we get
C = (5/9)(5/9) - (5/9)32 = (0.3086) - 17.77 = -17.469
thus,
on comparing the results, statement III is false
Hence, option d) is correct
