Question

$a=1,052+1.08t$
The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between $a$, the speed of a sound wave, in feet per second, and $t$, the air temperature, in degrees Fahrenheit $\left(\right)$.
Which of the following expresses the air temperature in terms of the speed of a sound wave?

• A. $t=\frac{a-1,052}{1.08}$
• B. $t=\frac{a+1,052}{1.08}$
• C. $t=\frac{1,052-a}{1.08}$
• D. $t=\frac{1.08}{a+1,052}$

Answer 1

The correct option is A $t=\frac{a-1,052}{1.08}$

Given, $a=1052+1.08t$
$\Rightarrow 1.08t=a-1052$
$\Rightarrow t=\frac{a-1052}{1.08}$
Hence, option A is correct.