Question

Air temperature affects the speed of a sound wave. The relationship is modeled by a= -1,153 + 1.06t. This shows the relationship between a, the speed of a sound wave, in feet per second, and t, the air temperature, in degrees Fahrenheit. Which of the following expresses the air temperature in terms of the speed of a sound wave?

Answer 1

To express air temperature in terms of the speed of a sound wave from the given equation a = -1,153 + 1.06t, rearrange the equation to solve for t, resulting in t = (a + 1,153) / 1.06.

Step-by-step explanation:

We are given the equation a = -1,153 + 1.06t where a represents the speed of a sound wave in feet per second and t the air temperature in degrees Fahrenheit. To express t (temperature) in terms of a (speed of a sound wave), we will rearrange the equation:

t = (a + 1,153) / 1.06

To see this step-by-step, we start with the original equation:

1. Add 1,153 to both sides of the equation to get: a + 1,153 = 1.06t.
2. Next, divide both sides by 1.06 to isolate t on one side: t = (a + 1,153) / 1.06.

Thus, to find the air temperature based on the speed of a sound wave, you plug the value of the a into the derived equation.