Kendra's water bottle contains 2 quarts of water.She wants to add drink mix to it, but the directions for the drink mix give the
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We first find the shortest distance between the point (2, 0) and the curve 
Let the point on the curve for which the line making the shortest distance be (x, y), then
But,
Therefore,
For minimum d(d)/dx = 0
Therefore, shortest distance is
Since it costs 400 dollars per mile, 4.47 miles will cost 4.47 x 400 = $1,788.20
Let the point on the curve for which the line making the shortest distance be (x, y), then
But,
Therefore,
For minimum d(d)/dx = 0
Therefore, shortest distance is
Since it costs 400 dollars per mile, 4.47 miles will cost 4.47 x 400 = $1,788.20