document.write( "Question 48594: The price of popcorn is a linear function of the volume of the container. A 1 liter container sells for one dollar. A 1.6 liter container sells for $1.36. Write the price P as a linear function of V. What should the price be for a 2 liter container? \n" ); document.write( "
Algebra.Com's Answer #32183 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The price of popcorn is a linear function of the volume of the container. A 1 liter container sells for one dollar. A 1.6 liter container sells for $1.36. Write the price P as a linear function of V. What should the price be for a 2 liter container? \n" ); document.write( "--------------------------------------- \n" ); document.write( "Form points of the form (V,P). \n" ); document.write( "(1.6, 1.36) and (1,1)\r \n" ); document.write( "\n" ); document.write( "The form of the equation will be P=mV+b \n" ); document.write( "Need to find m and b. \n" ); document.write( "m=(1.36-1)/(1.6-1)= 0.36/0.6 =0.6\r \n" ); document.write( "\n" ); document.write( "Then using the point (1,1) solve for \"b\", as follows: \n" ); document.write( "1=0.6(1)+b \n" ); document.write( "b=0.4 \n" ); document.write( "EQUATION: \n" ); document.write( "P=0.6V+0.4 \n" ); document.write( "---------------- \n" ); document.write( "Price of a 2 liter container? \n" ); document.write( "P(2)=0.6(2)+0.4 \n" ); document.write( "P(2)=1.2+0.4 \n" ); document.write( "Price = $1.60 for a 2 liter container.\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |