SOLUTION: A vendor learned that, by pricing caramel apples at $1.75 sales will reach 57 caramel apples per day. Raising the price to $2.75 will cause that sale to fall to 13 caramel apples p

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A vendor learned that, by pricing caramel apples at $1.75 sales will reach 57 caramel apples per day. Raising the price to $2.75 will cause that sale to fall to 13 caramel apples p      Log On


   



Question 721832: A vendor learned that, by pricing caramel apples at $1.75 sales will reach 57 caramel apples per day. Raising the price to $2.75 will cause that sale to fall to 13 caramel apples per day. Let y be the number of caramel apples the vendor sells at x dollars each. Create a linear equation that models the number of caramel apples sold per day when the price is x dollars each. Then determine how many apples will sell per day if the cost is lowered to $1.50.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The given points are:
( x1,y1 ) = ( 1.75, 57 )
( x2,y2 ) = ( 2.75, 13 )
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Use the point-slope formula
+%28+y+-+13+%29+%2F+%28+x+-+2.75+%29+=+%28+57+-+13+%29+%2F+%28++1.75+-+2.75+%29+
+%28+y+-+13+%29+%2F+%28+x+-+2.75+%29+=+44+%2F+%28-1%29+
+y+-+13+=+-44%2A%28+x+-+2.75+%29+
+y+=+-44x+%2B+121+%2B+13+
+y+=+-44x+%2B+134+ answer
If the cost is $1.50,
+y+=+-44%2A1.5+%2B+134+
+y+=+-66+%2B+134+
+y+=+68+
68 apples/day will sell if the price is $1.50/apple
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check:
Does the line go through ( 1.75, 57 ) ?
+y+=+-44x+%2B+134+
+57+=+-44%2A1.75+%2B+134+
+57+=+-77+%2B+134+
+57+=+57+
OK
You can check the other point