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 x hours. Complete the equation for the relationship between the altitude and number of hours. y=

Answer 1

Answer:

$\text{y}=700\text{x}-400$

Step-by-step explanation:

Given: 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 $\text{y}$ represent Nour's altitude (in meters) relative to sea level after $\text{x}$ hours.

To Find: Complete the equation for the relationship between the altitude and number of hours. $\text{y}$=.

Solution:

Let the altitude below sea level is represented as negative of altitude and above sea level as positive.

Altitude of Nour when she began driving $=-400$ $\text{meter}$

Altitude of Nour when she reaches Amman $=1000$ $\text{meter}$

Time taken to reach Amman from Dead sea $2$ $\text{hour}$

Altitude changed in $2$ $\text{hour}$ $=1000-(-400)=1400$ $\text{meter}$

Altitude changed in $1$ $\text{hour}$ $\frac{1400}{2}$ $=700$ $\text{meter}$

the altitude gain in $\text{x}$ $\text{hour}$=$700\text{x}$ $\text{meter}$

but position of nour at $0$ $\text{hour}$ $=-400$ $\text{meter}$

Therefore, equation for relationship between the altitude and number of hours is

  $\text{y}=700\text{x}-400$

Answer 2

Answer:

Just divide 400 from 2 then 1000