document.write( "Question 416185: A restaurant has some fixed operating costs and some that vary with the number of people in attendance. If 4000 people visit a restaurant in one month, the operating costs are $1300. If 2800 people visit the restaurant the operating costs are $970. What would be the operating costs for this restaurant in a month where only 1500 people visit the restaurant?\r
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\n" ); document.write( "\n" ); document.write( "I can't even begin to put this in a f(x) type problem. I was trying to come up with possible fixed costs that would work first in my head (for example $300 so then $1000 for 4000 people and $700 for 2800 people but the $970 is off. I am stuck! \n" ); document.write( "
Algebra.Com's Answer #291703 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A restaurant has some fixed operating costs and some that vary with the number of people in attendance.
\n" ); document.write( " If 4000 people visit a restaurant in one month, the operating costs are $1300.
\n" ); document.write( " If 2800 people visit the restaurant the operating costs are $970.
\n" ); document.write( " What would be the operating costs for this restaurant in a month where only 1500 people visit the restaurant?
\n" ); document.write( ":
\n" ); document.write( "Let x = cost per person
\n" ); document.write( "Let f = fixed operating costs
\n" ); document.write( ":
\n" ); document.write( "write a cost equation for each scenario
\n" ); document.write( "4000x + f = 1300
\n" ); document.write( "2800x + f = 970
\n" ); document.write( "-------------------subtraction eliminates f, find n
\n" ); document.write( "1200x = 330;
\n" ); document.write( "x = \"330%2F1200\"
\n" ); document.write( "x = $.275 cost per person
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\n" ); document.write( "Find the fixed cost using the 1st equation
\n" ); document.write( "4000(.275) + f = 1300
\n" ); document.write( "1100 + f = 1300
\n" ); document.write( "f = 1300 - 1100
\n" ); document.write( "f = $200 is the fixed cost
\n" ); document.write( ":
\n" ); document.write( "Check the n and f values in the 2nd equation
\n" ); document.write( ".275(2800) + 200 =
\n" ); document.write( "770 + 200 = 970; confirms our solution
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\n" ); document.write( "\" What would be the operating costs for this restaurant in a month where only 1500 people visit the restaurant?\"
\n" ); document.write( ".275(1500) + 200 =
\n" ); document.write( "412.5 + 200 = $612.50, cost for 1500 people \n" ); document.write( "
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