Question

Nama is escaping from the dragon's lair! She is running toward the entrance of the lair at a speed of 9.2 meters per second. The entrance is 180 meters away. The distance between d between Nala and the entrance of the lair is a function of t, the time in seconds since Nala began running.

Answer 1

Time= 19.565 seconds

Explanation:

The distance between Nara and the entrance of the dragon lair is Given by the function containing t..

But distance/time = velocity

We have the distance to be 180 metres

And we have velocity To be

9.2 m/s.

Time = distance/velocity

Time = 180/9.2

Time = 19.565

Time= 19.565 seconds

Answer 2

`D(t) = 180 - 9.2t`

Explanation:

The distance initially is how far she is from the lair.

After she starts running, the distance decreases according to her velocity.

So the equation relating the distance d between Nala and the entrance of the lair is a function of t, the time in seconds since Nala began running can be modeled by an equation in the following format:

`D(t) = D_(0) - vt`

In which
`D_(0)` is the initial distance and v is the speed that she is running, in meters per second.

The entrance is 180 meters away.

This means that
`D_(0) = 180`

Speed of 9.2 meters per second.

This means that
`v = 9.2`

So

`D(t) = D_(0) - vt`

`D(t) = 180 - 9.2t`