In the Fahrenheit temperature scale, water freezes at 32 F and boils at 212 F. In the Celsius (or centigrade)scale, water freezes at 0 C and boils at 100 C. Assuming that the Fahrenheit temperature and the Celsius temperature are related by a linear equation, find the Celsius temperature that correspond to 68 F, to the nearest degree.
A) C
B) C
C) C
D) C
E) C

Question

In the Fahrenheit temperature scale, water freezes at 32 F and boils at 212 F. In the Celsius (or centigrade)scale, water freezes at 0 C and boils at 100 C. Assuming that the Fahrenheit temperature  and the Celsius temperature  are related by a linear equation, find the Celsius temperature that correspond to 68 F, to the nearest degree.
A) C 
B) C 
C) C 
D) C 
E) C

Quizplus · Accepted Answer

We can use the formula $C = \frac{5}{9}(F-32)$ to convert Fahrenheit to Celsius. Substituting $F=68$, we get $C = \frac{5}{9}(68-32) = \frac{5}{9}(36) \approx 20$. To the nearest degree, $20$ Celsius corresponds to $\boxed{	extbf{(C) }20}$ Celsius.

In the Fahrenheit Temperature Scale, Water Freezes at 32 F