Noa started at – 400 meters below sea level.
Explanation:
We have , 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 after 1.5, point, 5 hours of driving, her altitude was 710 meters above sea level. We need to find the initial height from sea level . Let's find out:
Let N(t) be Noa’s altitude to sea level and time t .
. where h is initial height we need to find.
She was 710 meters above sea level after 1.5 hours. So,
⇒
![N(1.5) = 740(1.5) + h](https://img.qammunity.org/2021/formulas/mathematics/high-school/quzwne8cgfbe4o1mpimcny3in5jzp1ztbi.png)
⇒
![740(1.5) + h = 710](https://img.qammunity.org/2021/formulas/mathematics/high-school/n0dvouhzr5oxbmok2vfok9bil0ecmqljti.png)
⇒
![1,110 + h = 710](https://img.qammunity.org/2021/formulas/mathematics/high-school/dch3w2wwel6mvtcg2g4utzo7psjbwc2g1f.png)
⇒
![H = 710-1,110](https://img.qammunity.org/2021/formulas/mathematics/high-school/2zuxzpcvzy2ybj5k1cgwv4qxymycmotec4.png)
⇒
![h = - 400m](https://img.qammunity.org/2021/formulas/mathematics/high-school/9hgs88byakcfjubae3koai5tvwqodbsj21.png)
Therefore , Noa started at – 400 meters below sea level.