Explanation
The first point corresponds to (0,5000) because for 0 hours its 5000 km from its distance.
The second point corresponds to (1.5 , 3800) because after 1.5 hours its 3800 k from its distance.
Lets graph this points:
The line passing through these points is the model we need for the situation.
We have the y-intercept at (0,5000) and the slope of this function is:
[tex]\begin{gathered} \frac{5000-3800}{0-1.5} \\ \frac{1200}{-1.5} \\ -800 \end{gathered}[/tex]
Then the linear model must be:
[tex]d(t)=-800t+5000[/tex]
The distance decreases 800 km every hour.
Range: [0,5000]
Domain:[0,6.25]
The domain is from 0 to 6.25 because after 6.25 hours that plane will be on the ground.
Answer
Range: [0,5000]
Domain:[0,6.25]
Linear model:
[tex]d(t)=-800t+5000[/tex]
