We have that The height as a linear function of time is
[tex]x=-27.5T+500[/tex]
From the Question we are told that
Time t=8 minutes
Height h=500
Descended height h_d= 280 feet.
Generally the equation for the linear function is mathematically given as
Let
Height as a linear function =x
[tex]x=\frac{h_d-h}{t}*T+h[/tex]
[tex]x=\frac{280-500}{8}*T+500[/tex]
[tex]x=-27.5T+500[/tex]
In conclusion
The height as a linear function of time is
[tex]x=-27.5T+500[/tex]
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