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 y represent Nour's altitude (in meters) relative to sea level after

Answer 1

To find Nour's altitude after a specific time, we can use the equation y = mx + b, where y is the altitude, m is the slope, x is the time, and b is the initial altitude. The slope can be calculated by dividing the change in altitude (rise) by the change in time (run). Nour's initial altitude is -400 meters because she started 400 meters below sea level.

Step-by-step explanation:

To solve this problem, we can use the concept of slope. The change in altitude is the rise, and the change in time is the run. We can calculate the slope by dividing the rise by the run. In this case, the rise is 1000 meters - (-400 meters) = 1400 meters, and the run is 2 hours, which is the same as 2 * 3600 seconds. So, the slope is 1400 meters / (2 * 3600 seconds).

To find the altitude after a certain time, we can use the equation y = mx + b, where y is the altitude, m is the slope, x is the time, and b is the initial altitude. In this case, the initial altitude is -400 meters because Nour started 400 meters below sea level. So, the equation becomes y = (1400 / (2 * 3600)) * x - 400.

To find Nour's altitude after a specific time, plug in the value of x into the equation and calculate y. For example, to find her altitude after 1 hour, substitute x = 1 into the equation: y = (1400 / (2 * 3600)) * 1 - 400 = -200 meters.