document.write( "Question 77341: The price a flower shop charges for roses is inversely proportional to the number of days before Valentine's Day that the order is placed. A dozen roses ordered ten days before valentine's Day costs $12.00 while the same order placed five days before Valentine's Day costs $24.00. What is the cost of a dozen roses ordered one day before Valentine's day? \n" ); document.write( "
Algebra.Com's Answer #55469 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The price a flower shop charges for roses is inversely proportional to the number of days before Valentine's Day that the order is placed. A dozen roses ordered ten days before valentine's Day costs $12.00 while the same order placed five days before Valentine's Day costs $24.00. What is the cost of a dozen roses ordered one day before Valentine's day? \n" ); document.write( ": \n" ); document.write( "One way is to write a linear equation by finding the slope and using the \n" ); document.write( "point/slope equation: \n" ); document.write( ": \n" ); document.write( "Let x = number of days from v. day \n" ); document.write( "Then y = cost of the roses on that day \n" ); document.write( ": \n" ); document.write( "x1 = 10, y1 = 12; x2 = 5, y2 = 24 \n" ); document.write( ": \n" ); document.write( "Find the slope; m = (y2-y1)/(x2-x1): \n" ); document.write( ": \n" ); document.write( "m = \n" ); document.write( ": \n" ); document.write( "Use the point/slope equation: y - y1 = m(x - x1) \n" ); document.write( ": \n" ); document.write( "y - 12 = -2.4(x - 10) \n" ); document.write( "y - 12 = -2.4x - (-24) \n" ); document.write( "y - 12 = -2.4x + 24 \n" ); document.write( "y = -2.4x + 24 + 12 \n" ); document.write( "y = -2.4x + 36 \n" ); document.write( "; \n" ); document.write( "Substitute 1 for x: \n" ); document.write( "y = 2.4(1) +36 \n" ); document.write( "y = $33.60 1 day before v. day \n" ); document.write( " |