contestada

The altitude "a" (in feet) of a plane "t" minutes after liftoff is given by a -3400t+600. How many minutes after liftoff is the plane at an altitude of 21,000 feet?

The altitude a in feet of a plane t minutes after liftoff is given by a 3400t600 How many minutes after liftoff is the plane at an altitude of 21000 feet class=

Respuesta :

wsk8
21000 = 3400 t + 600 -> 21000 - 600 = 3400 t --> 20400 = 3400 t --> 20400/3400 = t --> t = 6  min
lublana

Answer:

6 minutes

Step-by-step explanation:

We are given that an altitude a (in feet) of a  plane t minutes after liftoff is given by

[tex]a=3400 t+600[/tex]

We have to find that how many minute after liftoff is the plane at an altitude of 21,000 feet.

[tex]a=3400 t+600[/tex]

[tex]3400 t=a-600[/tex]

Using subtraction property of equality

[tex]t=\frac{a-600}{3400}[/tex]

Substitute the value of a then we get

[tex]t=\frac{21000-600}{3400}[/tex]

[tex]t=6[/tex] minutes

Hence,  6 minutes after liftoff is the plane at an altitude of 21,000 feet.

Otras preguntas