Question

Nour drove from the Dead Sea up to Amman, and her altitude increased at a constant rate.

When she began driving, her altitude was 400 meters below sea level.
When she arrived in Amman 2 hours later, her altitude was 1000 meters above sea level.
Let A(t) denote Nour's altitude relative to sea level A (measured in meters) as a function of time t (measured in hours).
Write the function's formula.

Answer 1

A(t) = 700t -400

Explanation:

The rate of change of Nour's altitude was ...

(1000 m -400 m)/(2 h) = 700 m/h

Her initial altitude was -400 m (relative to sea level), so the formula for her ascent can be written in slope-intercept form as ...

A(t) = 700t -400