Respuesta :

29 minutes-  at a rate of 1,000 feet a minute, it would take 32 minutes to reach sea level (32,000/1000=32)but if you subtract 3000 from 32000 to remain 3000 feet above sea level, you have 29000 feet to descend which will take 29 minutes

Let

x-------> the time in minutes

y-------> the height of the airplane above sea level in feet

we know that

[tex]y=32,000-1,000x[/tex] -------> equation [tex]1[/tex]

In this problem

For [tex]y=3,000\ ft[/tex]

Find the value of x

Substitute the value of y in the equation [tex]1[/tex] and solve for x

[tex]3,000=32,000-1,000x[/tex]

[tex]1,000x=32,000-3,000[/tex]

[tex]1,000x=29,000[/tex]

[tex]x=29,000/1,000[/tex]

[tex]x=29\ minutes[/tex]

therefore

the answer is

[tex]29\ minutes[/tex]