document.write( "Question 379405: if a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served and you know that the cos will be for 100 students will be $750 and the cost for 150 students will be $1050,what would the caterer's fixed cost and the cost per student be?(using linear equations) \n" ); document.write( "
Algebra.Com's Answer #269355 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! if a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served and you know that the cost will be for 100 students will be $750 and the cost for 150 students will be $1050,what would the caterer's fixed cost and the cost per student be?(using linear equations) \n" ); document.write( "------ \n" ); document.write( "You have two points relating # of students and cost \n" ); document.write( "(100,750) and (150,1050) \n" ); document.write( "--- \n" ); document.write( "slope = (1050-750)/(150-100) = 300/50 = 6 \n" ); document.write( "--- \n" ); document.write( "Form: c = mx + b \n" ); document.write( "750 = 6*100 + b \n" ); document.write( "b = 150 \n" ); document.write( "---- \n" ); document.write( "Cost(x) = 6x + 150 \n" ); document.write( "--- \n" ); document.write( "Cost per student = $6 \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |