Answer:
[tex]\text{y}=700\text{x}-400[/tex]
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 [tex]400[/tex] meters below sea level. When she arrived in Amman [tex]2[/tex] hours later, her altitude was [tex]1000[/tex] meters above sea level. Let [tex]\text{y}[/tex] represent Nour's altitude (in meters) relative to sea level after [tex]\text{x}[/tex] hours.
To Find: Complete the equation for the relationship between the altitude and number of hours. [tex]\text{y}[/tex]=.
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 [tex]=-400[/tex] [tex]\text{meter}[/tex]
Altitude of Nour when she reaches Amman [tex]=1000[/tex] [tex]\text{meter}[/tex]
Time taken to reach Amman from Dead sea [tex]2[/tex] [tex]\text{hour}[/tex]
Altitude changed in [tex]2[/tex] [tex]\text{hour}[/tex] [tex]=1000-(-400)=1400[/tex] [tex]\text{meter}[/tex]
Altitude changed in [tex]1[/tex] [tex]\text{hour}[/tex] [tex]\frac{1400}{2}[/tex] [tex]=700[/tex] [tex]\text{meter}[/tex]
the altitude gain in [tex]\text{x}[/tex] [tex]\text{hour}[/tex]=[tex]700\text{x}[/tex] [tex]\text{meter}[/tex]
but position of nour at [tex]0[/tex] [tex]\text{hour}[/tex] [tex]=-400[/tex] [tex]\text{meter}[/tex]
Therefore, equation for relationship between the altitude and number of hours is
[tex]\text{y}=700\text{x}-400[/tex]
