document.write( "Question 257693: Find the caterer's fixed cost and the cost per student served if the cost for 100 students will be 750 and the cost for 150 students will be 1050 \n" ); document.write( "
Algebra.Com's Answer #189566 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! Think of nunber of students as x and the total cost=y \n" ); document.write( "fixed cost =b and cost per student =m \n" ); document.write( "y=mx+b \n" ); document.write( "So to write the equation we first find m the slope (cost per student) \n" ); document.write( "and then find b the fixed cost \n" ); document.write( "(y-y)/(x-x)=m \n" ); document.write( "1050-750/150-100=m \n" ); document.write( "300/50=6=m=cost per student \n" ); document.write( "y=mx+b \n" ); document.write( "1050=6*150+b \n" ); document.write( "150=b \n" ); document.write( "y=6x+150 \n" ); document.write( "150 is the fixed cost \n" ); document.write( " |