Solve the problem.
-To convert a Fahrenheit temperature to a Celsius temperature, we subtract 32 from the Fahrenheit temperature and then multiply the result by $\frac { 5 } { 9 }$. When the temperature is below $29 ^ { \circ } \mathrm { F }$ the first grade students are not allowed to play outside. What is this temperature in degrees Celsius?
A) $15.9 ^ { \circ } \mathrm { C }$
B) $84.2 ^ { \circ } \mathrm { C }$
C) $20.2 ^ { \circ } \mathrm { C }$
D) $- 1.7 ^ { \circ } \mathrm { C }$

Question

Quizplus · Accepted Answer

When the temperature is below $29 ^ { \circ } \mathrm { F }$, we know it is below freezing point of water which is $0 ^ { \circ } \mathrm { C }$. Therefore, the only option that makes sense is the negative Celsius temperature. 
Let's find the Celsius temperature:
\begin{align*}
C &= \frac{5}{9}(29-32) \
&= \frac{5}{9}(-3) \
&= -\frac{5}{3} \
&\approx -1.7
\end{align*}
Thus, the temperature in degrees Celsius is D) $-1.7 ^ { \circ } \mathrm { C }$.

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