Question

the altitude of a plane t minutes after liftoff is given by a 3400t + 600. How many minutes after liftoff is a plane at an altitude of 10,800 feet

Answer 1

To find out how many minutes after liftoff the plane is at an altitude of 10,800 feet, we can set the equation for altitude equal to 10,800.

The equation for altitude is:

\[
h(t) = 3400t + 600
\]

We want to find \( t \) when \( h(t) = 10,800 \):

\[
3400t + 600 = 10,800
\]

Now, we will solve for \( t \):

1. Subtract 600 from both sides:

\[
3400t = 10,800 - 600
\]

\[
3400t = 10,200
\]

2. Divide both sides by 3400:

\[
t = \frac{10,200}{3400}
\]

3. Simplify the division:

\[
t = 3
\]

So, the plane is at an altitude of 10,800 feet 3 minutes after liftoff.