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Nour drove from the dead sea up to amman, and her altitude increased at a constant rate. When she began driving, her altitude was 400meters below sea level. When she arrived in amman 2 hours later, her altitude was 1000 meters above sea level. Let yyy represent Nour's altitude (in meters) relative to sea level after xxx hours. Complete the equation for the relationship between the altitude and number

Respuesta :

Answer:

y = 700x - 400

Step-by-step explanation:

Given:

When time x = 0 hours, her altitude is 400 meters below the sea level

and at time x = 2 hours, her altitude is 1000 meters above the sea level

Let the sea level be datum,

thus,

we get the coordinates of line as

at x = 0 , y = -400

at x = 2 , y = 1000

now,

The general equation for line is given as:

y = mx + c

here, m is the slope and c is the constant

therefore,

for (0, -400)

-400 = m(0) + c

or

c = -400 ........(1)

and,

for (2, 1000)

1000 = m(2) - 400           [c = -400 from 1]

or

1000 = 2m - 400

or

2m = 1400

or

m = 700

hence,

The equation between the altitude and number of hours is

y = 700x - 400

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