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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.

As an airplane gains altitude the temperature outside the plane decreases The relationship between temperatureT and altitude A can be described with the formula class=

Respuesta :

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:

[tex]T=-0.0035A+80[/tex]

And plugging in T = 30º F, we have:

[tex]-30=-0.0035A+80[/tex]

Subtract 80 on both sides of the equation

[tex]\begin{gathered} -30-80=-0.0035A+80-80 \\ -110=-0.0035A \end{gathered}[/tex]

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

[tex]\begin{gathered} \frac{-0.0035A}{-0.0035}=\frac{-110}{-0.0035} \\ A=31428.57 \end{gathered}[/tex]

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

[tex]A=31429\text{ ft}[/tex]

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