SOLUTION: Vanessa and her friends are going on a 1000 mile road trip. They intend to drive all the way without stopping. After driving a total of 2 hours, they are 860 miles away from their

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Vanessa and her friends are going on a 1000 mile road trip. They intend to drive all the way without stopping. After driving a total of 2 hours, they are 860 miles away from their       Log On


   



Question 1172663: Vanessa and her friends are going on a 1000 mile road trip. They intend to drive all the way without stopping. After driving a total of 2 hours, they are 860 miles away from their destination. After driving a total of 11 hours, they are 230 miles away from their destination.
If D represents the remaining distance to their destination and t represents the amount of time (in hours) that they have been driving, find the linear equation relating D and t.
D= ?

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

In 9 hours (9 = 11-2 hours), they covered  860 - 230 = 630 miles.


Hence, their average speed was  630/9 = 70 miles per hour.


It means that the linear equation relating D and t is  D = 1000 - 70t  miles.   ANSWER

Solved.


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to the author/(the composer)  of this problem   ---  a  POST-SOLUTION  note.

    Actually, having only one piece of info

        "After driving a total of 2 hours, they are 860 miles away from their destination"

    is just ENOUGH to create such a function and to answer the problem's question.



    The other piece of info 

        "After driving a total of 11 hours, they are 230 miles away from their destination" 

    is just EXCESSIVE and UNNECASSARY . . .