Question

The speed of a sound wave in air dependson the air temperature. The formula belowshows the relationship between a, thespeed of a sound wave, in feet per second,and t, the air temperature, in degreesFarenheit (°F).a= 1,052 + 1.08tWhich of the following expresses the air temperature in terms of the speed of a sound wave

Answer 1

Answer:

Choice A

Explanation:

In this problem we simply need to rearrange the equation given and solve for t.

Now, from the equation

$a=1052+1.08t$

we first subtract 1052 from both sides and get

$a-1052=1.08t$

Then we divide both sides by 1.08 to get:

$\frac{a-1052}{1.08}=\frac{1.08t}{1.08}$

which gives

$\boxed{t=\frac{a-1052}{1.08}\text{.}}$

Therefore, choice A is the correct answer!