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 hours of driving, her altitude was 710 meters above sea level.

Let A (t) denote Noa's altitude relative to sea level A (measured in meters) as a function of time t (measured in hours).

Question

Mathematics

Maximo Bass

16 February, 16:38

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 hours of driving, her altitude was 710 meters above sea level.

Let A (t) denote Noa's altitude relative to sea level A (measured in meters) as a function of time t (measured in hours).

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Answers (1)

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Boss · Answer 1

Hmm, so

A (t) = 740t+a₀

where a₀ is initial height or the height she started at

we want to find her initial height

after 1.5 hours, she was 710 meters above sea levl

alright

A (1.5) = 740 (1.5) + a₀=710

740 (1.5) + a₀=710

1110+a₀=710

minus 1110 both sides

a₀=-400

so she stared at - 400 meters below sea level

and the equation would be (or function)

A (t) = 740t-400