Question

Nour drove from the Dead Sea up to Amman and her altitude was 409 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 x hours

Answer 1

To find Nour's altitude after x hours, use the equation y = mx + c, where m is the rate of change of altitude and c is the initial altitude.

Step-by-step explanation:

To determine Nour's altitude after x hours, we will start by finding the rate of change of her altitude, which is the slope of the line connecting her starting and ending altitudes. The altitude change from the Dead Sea to Amman is 409 + 1000 = 1409 meters. The time taken is 2 hours. So, the rate of change of altitude is 1409 / 2 = 704.5 meters per hour.

Now, we can use the equation y = mx + c, where y is the altitude, x is the time, m is the rate of change of altitude, and c is the initial altitude. Plugging in the values, we get y = 704.5x - 409.

So, to find Nour's altitude after a certain number of hours, substitute the value of x into the equation.