Question

Water boils at 212°F or 100°C and melts at 32°F or 0°C.

If the temperature on a particular day is 35°C, then the equivalent value in Fahrenheit scale is?

• A. 95F
• B. 85F
• C. 99F
• D. 90F

Answer 1

The correct option is A 95F

Fahrenheit and Celsius scales share a linear relationship.

Thus, an equation can be modelled as a line $:y=mx+c$

where,

y is the temperature in Fahrenheit scale

m is the slope of the line

x is the temperature in Celsius scale

c is the constant.

Water melts at ${32}^{\circ }$ For $0^{\circ }C\Rightarrow 32=m\times 0+c=32$

Water boils at ${212}^{\circ }$ For ${100}^{\circ }C\Rightarrow 212=m\times 100+c$

$m=1.8$

Substituting x = 35, m, and c values in the original equation, we get y value (Fahrenheit value)

$\Rightarrow y=1.8\times 34+32\Rightarrow y=35$

$\therefore$ Temperature of ${35}^{\circ }C$ on a particular day is $={95}^{\circ }F$