SOLUTION: A vendor has learned that, by pricing caramel apples at $1.50, sales will reach 133 caramel apples per day. Raising the price to $2.25 will cause the sales to fall to 103 caramel

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A vendor has learned that, by pricing caramel apples at $1.50, sales will reach 133 caramel apples per day. Raising the price to $2.25 will cause the sales to fall to 103 caramel       Log On

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Question 914789: A vendor has learned that, by pricing caramel apples at $1.50, sales will reach 133 caramel apples per day. Raising the price to $2.25 will cause the sales to fall to 103 caramel apples per day. Let y be the number of caramel apples the vendor sells at x dollars each. Write a linear equation that relates the number of caramel apples sold per day to the price x.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+133+-+%28%28+x+-+1.5+%29+%2F+.75+%29%2A30+ answer
Check the equation:
suppose
+y+=+103+
+103+=+133+-+%28%28+x+-+1.5+%29+%2F+.75+%29%2A30+
+30+=+%28+x+-+1.5+%29+%2F+.75+%29%2A30+
+1+=+%28+x+-+1.5+%29%2F+.75+
+x+-+1.5+=+.75+
+x+=+2.25+
OK
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Soppose
+x+=+3+ ( $3 )
+y+=+133+-+%28%28+3+-+1.5+%29+%2F+.75+%29%2A30+
+y+=+133+-+%28+1.5+%2F+.75+%29%2A30+
+y+=+133+-+2%2A30+
+y+=+133+-+60+
+y+=+73+
Correct because every $.75 increase in price
will lower +y+ by +30+, and
$3 is $1.50 + ( $.75 )*2
and that makes a decrease of 60 in y
Make sense?