Question

As an airplane gains altitude, the temperature outside the plane decreases. The relationship between temperatureT and altitude A can be described with the formulaT = – 0.0035 A + 80when the temperature on the ground is 80°F. Solve the equation below to find the altitude at which thetemperature outside the plane is - 30°F. Round to the nearest foot.- 30 = -0.0035 A + 80Atfeet the temperature outside the plane is -30°F.

Answer 1

Hello there. To solve this question, we just need to find the value for the altitude in which the temperature outside the airplane will be -30º F.

From the equation:

`T=-0.0035A+80`

And plugging in T = 30º F, we have:

`-30=-0.0035A+80`

Subtract 80 on both sides of the equation

`\begin{gathered} -30-80=-0.0035A+80-80 \\ -110=-0.0035A \end{gathered}`

Divide both sides of the equation by a factor of -0.0035

`\begin{gathered} (-0.0035A)/(-0.0035)=(-110)/(-0.0035) \\ A=31428.57 \end{gathered}`

Rounding the answer up to the nearest foot, we have:

`A=31429\text{ ft}`