Question

The speed of sound, V, near Earth's surface can be represented by this equation, V=20sqt(t+273) where t is the temperature in degrees Celsius. Find the temperature when V = 380 meters per second. Round to the nearest whole number.

Answer 1

88

Answer 2

\[V=20\sqrt(t+273)\]
\[380=20\sqrt(t+273)\]
\[19=\sqrt(t+273)\]
\[19^{2}=361\]
Square both sides and get
\[361=273+t\]
\[361-273=t\]
\[88=t\]