document.write( "Question 139751: Will you help me with this?
\n" ); document.write( "The cost of a school banquet is $75 plus $12 for each person attending. What linear function models this problem for the cost of 60 people?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #101872 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
What I think you really want is a linear function that models the cost for ANY number of people, and then use that model to calculate the cost for 60 people.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let x be the number of people. Each one costs $12, so the cost for the people is 12x. But there is also the $75 that is charged whether anyone attends or not, so:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"C%28x%29=12x%2B75\"$ , where C is the cost function and x is the number of people who attend.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now, you want to know the cost for 60 people. So just evaluate $\"C%2860%29\"$ , which is to say, substitute 60 in place of x in your model and do the arithmetic. \n" ); document.write( "

\n" );