SOLUTION: kevin is driving to vegas. suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). kevin has 46 miles to his destinatio

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: kevin is driving to vegas. suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). kevin has 46 miles to his destinatio      Log On


   

Question 1145894: kevin is driving to vegas. suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). kevin has 46 miles to his destination after 41 minutes of driving, he has 28 miles to his destination after 65 minutes of driving. how many miles will he have to his destination after 83 minutes of driving?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
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suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes).
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Ordered Pair as (x,d)

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kevin has 46 miles to his destination after 41 minutes of driving, he has 28 miles to his destination after 65 minutes of driving. how many miles will he have to his destination after 83 minutes of driving?
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Two given and one unknown points:
(41,46), (65,28), (83,d)
These form a line.

d-28=%28%2828-46%29%2F%2865-41%29%29%28x-65%29
d-28=-%283%2F4%29%28x-65%29
d=-%283%2F4%29%28x-65%29%2B28
d=-3x%2F4%2B48%263%2F4%2B28
highlight_green%28d=-3x%2F4%2B76%263%2F4%29

Let x equal 83.
Evaluate d.