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

Answer:

y=  704.5x - 409

Step-by-step explanation:

Complete question is : . Complete the equation for the relationship between the altitude and number of hours.

SOLUTION

By plotting altitude on y-axis and time or duration of travel on x-axis of the graph, we will have the the location of Nour at t = 0 will be represented by (0, -409)

when t = 2 hours location points will be  at (2, 1000).

As you know, at a constant rate her altitude is increasing , we will have a linear graph with equation y = mx + b --> eq(1)

Slope of the line is given by:

m= (y-y') / (x-x') => (1000+409)/(2-0)

m= 704.5

y-intercept 'b' is -409

Therefore, the eq(1) will become

(1)=> y=  704.5x - 409

Where, 'y' represents Nour's altitude(in meters) relative to sea level after 'x' hours