document.write( "Question 677254: A vendor has learned that, by pricing hot dogs at $1.00, sales will reach 142 hot dogs per dat. Raising the price to $2.00 will cause the sales to fall to 90 hot dogs per day. Let Y be the number of hot dogs the vedor sells at X dollars each. Write a linear equation that models the number of hot dogs sold per day when the price is X dollars each. \n" ); document.write( "
Algebra.Com's Answer #420778 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A vendor has learned that, by pricing hot dogs at $1.00, sales will reach 142 hot dogs per dat. Raising the price to $2.00 will cause the sales to fall to 90 hot dogs per day. Let Y be the number of hot dogs the vedor sells at X dollars each. Write a linear equation that models the number of hot dogs sold per day when the price is X dollars each. \n" ); document.write( "------ \n" ); document.write( "You have 2 points relating # of dogs(y) and price(x):: \n" ); document.write( "Points: (1,142) and (2,90) \n" ); document.write( "----- \n" ); document.write( "slope = (142-90)/(1-2) = 52/(-1) = -52 \n" ); document.write( "-------- \n" ); document.write( "Form: y = mx + b \n" ); document.write( "Solve for \"b\": \n" ); document.write( "90 = -52*2 + b \n" ); document.write( "b = 194 \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "y = -52x + 194 \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |