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 $\left(\right)$.
At which of the following air temperatures will the speed of a sound wave be closet to $1,000$ feet per second?

• A. $-46$
• B. $-48$
• C. $-49$
• D. $-50$

Answer 1

The correct option is B $-48$

Given, $a=1052+1.08t$
$\Rightarrow 1.08t=a-1052$
$\Rightarrow t=\frac{a-1052}{1.08}$
when $a=1000,$ $t=\frac{1000-1052}{1.08}=\frac{-52}{1.08}\approx -48$
Hence, option B is correct.