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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.

Answer :

Noa started at – 400 meters below sea level.

Step-by-step 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 .

[tex]N(t) = 740(t) + h[/tex] .  where h is initial height we need to find.

She was 710 meters above sea level after 1.5 hours. So,

⇒ [tex]N(1.5) = 740(1.5) + h[/tex]

⇒ [tex]740(1.5) + h = 710[/tex]

⇒ [tex]1,110 + h = 710[/tex]

⇒ [tex]H = 710-1,110[/tex]

⇒ [tex]h = - 400m[/tex]

Therefore , Noa started at – 400 meters below sea level.

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