SOLUTION: Can you help me solve this? An approximate linear model that gives the remaining distance, in miles, a plane must travel from Los Angeles to Paris is given by s(t)=6000-500t wher

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Question 136564This question is from textbook Mathematical Excursions
: Can you help me solve this?
An approximate linear model that gives the remaining distance, in miles, a plane must travel from Los Angeles to Paris is given by s(t)=6000-500t where s(t) is the remaining distance t hours after the flight begins. Find and discuss the meaning, in the context of this application, of the intercepts on the vertical and horizontal axes. This question is from textbook Mathematical Excursions

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is in the form of a line.
What does it mean to be an intercept? The y intercept has an x value of 0; the x intercept has a y value of 0.
In our equation, the independent variable is t. where t is time in hours.
So think about your flight. Where are you when the flight starts? And what "time" is that? You are in LA at time t=0. If t is 0, what intercept does that correspond to?
Now, zip on over to Paris. Once your land at Charles De Gaul airport, how much longer do you have to fly to get to Paris? Right. You don't need to fly any longer since you are already there. The distance to Paris is 0 once you land in Paris. What intercept is that?
Now you can answer the question :-D
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