document.write( "Question 122431: 5. The director of a summer day camp estimates that 120 children will join if the camp
\n" ); document.write( " fee is $250, but for each $25 decrease in the fee, five more children will enroll. \r
\n" ); document.write( "\n" ); document.write( "A. Determine the linear equation that will represent the number of children who will enroll at a given fee. Hint: To write the slope, you need two points on the line. Show all work to receive full credit.
\n" ); document.write( "B. Graph the linear equation that represents the number of children who will enroll at a given fee.
\n" ); document.write( "C. Approximately how many students will enroll if the camp fee is $190? Round to the nearest child. Show all work to receive full credit.
\n" ); document.write( "D. Approximately how many students will enroll if the camp is free? Round to the nearest child. Show all work to receive full credit. \r
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Algebra.Com's Answer #89947 by ankor@dixie-net.com(22740)\"\" \"About 
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The director of a summer day camp estimates that 120 children will join if the
\n" ); document.write( " camp fee is $250, but for each $25 decrease in the fee, five more children will enroll.
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\n" ); document.write( "A. Determine the linear equation that will represent the number of children who will enroll at a given fee. Hint: To write the slope, you need two points on the line. Show all work to receive full credit.
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\n" ); document.write( "Since the no. of kids depend on the cost; let x = cost; y = no. of kids
\n" ); document.write( "Derive two points:
\n" ); document.write( "x1 = 250; y1 = 120; given
\n" ); document.write( "x2 = 200; y2 = 130; Given that a $50 reduction increases kids by 10
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\n" ); document.write( "Find the slope from this:
\n" ); document.write( "m = \"%28130+-+120%29%2F%28200+-+250%29\" = \"10%2F%28-50%29\" = -.2 is the slope
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\n" ); document.write( "Find the equation using the point/slope formula:
\n" ); document.write( "y - 120 = .2(x - 250)
\n" ); document.write( "y - 120 = -.2x + 50
\n" ); document.write( "y = -.2x + 50 + 120
\n" ); document.write( "y = -.2x + 170; this is linear equation
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\n" ); document.write( "B. Graph the linear equation that represents the number of children who will enroll at a given fee.
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\n" ); document.write( "Plot the two given sets of points and draw the graph, it should look like this:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-100%2C+400%2C+-20%2C+200%2C+-.2x%2B170%29+\"
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\n" ); document.write( "\n" ); document.write( "C. Approximately how many students will enroll if the camp fee is $190? Round to the nearest child. Show all work to receive full credit.
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\n" ); document.write( "Using our equation, substitute 190 for x and find y
\n" ); document.write( "y = -.2(190) + 170
\n" ); document.write( "y = -38 + 170
\n" ); document.write( "y = + 132 children at this $190
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\n" ); document.write( "D. Approximately how many students will enroll if the camp is free? Round to the nearest child. Show all work to receive full credit.
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\n" ); document.write( "you can see by the graph, and the equation, that when x = 0 and y = 170
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\n" ); document.write( "170 children if it's free.
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