Question

Noa drove from the Dead Sea up to Jerusalem, and her altitude increased at a constant rate of 740 meters per hour. When she arrived in Jerusalem 1.5 hours later, her altitude was 710 meters above sea level.

Plzzzzzzzz show me how to write this in a function!!!!

Answer 1

First you will need a piece of paper, well not really. All this problem is involving is 740
+ 710
=1,500 meters

Answer 2

`H(t)=-400+740t`

Explanation:

Let the initial height be H

We are given that her altitude increased at a constant rate of 740 meters per hour.

Altitude increase in t hours = 740t

So, height after t hours =
`H(t)=H+740t`

Now we are given that When she arrived in Jerusalem 1.5 hours later, her altitude was 710 meters above sea level.

So, H(t)=710 m

Substitute the values in the equation .

t = 1.5 hours

`710=H+740(1.5)`

`710=H+740(1.5)`

`710-740(1.5)=H`

`-400=H`

So, initial height is -400

So, equation :
`H(t)=-400+740t`

Hence function which represents the situation is
`H(t)=-400+740t`