document.write( "Question 936794: I feel like a dumb parent as I cant help my child with this. please help.\r
\n" ); document.write( "\n" ); document.write( "Cell Company offers a single line plan for $50. they wan to offer a family plan for 2 lines or more under the same plan. doing so you will decrease the charges per line by $5 each, (the costs per line would decrease for all lines, not just for the lines beyond the first 2.\r
\n" ); document.write( "\n" ); document.write( "1. What is the costs per line?\r
\n" ); document.write( "\n" ); document.write( "2. If you have five lines under the same family plan what will the total costs be.\r
\n" ); document.write( "\n" ); document.write( "3. if you have 8 lines under the same family plan what will be the total costs.\r
\n" ); document.write( "\n" ); document.write( "4. what would be the factored from and the general form for the total costs of the family plan as a function of the number of lines beyond 2
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Algebra.Com's Answer #570293 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Cell Company offers a single line plan for $50.
\n" ); document.write( " they want to offer a family plan for 2 lines or more under the same plan. doing so you will decrease the charges per line by $5 each, (the costs per line would decrease for all lines, not just for the lines beyond the first 2.
\n" ); document.write( ":
\n" ); document.write( "I am assuming that each line is $5 less than the previous line
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\n" ); document.write( "Let x = no. of lines
\n" ); document.write( "1. What is the costs per line?
\n" ); document.write( "50 - 5(x-1)
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\n" ); document.write( "2. If you have five lines under the same family plan what will the total costs be.
\n" ); document.write( "x(50 - 5(x-1))
\n" ); document.write( "x=5
\n" ); document.write( "5(50 - 5(5-1)) = 5(50-5(4)) = 5(50-20) = 5(30) = $150 for five lines
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\n" ); document.write( "3. if you have 8 lines under the same family plan what will be the total costs.
\n" ); document.write( "x=8
\n" ); document.write( "8(50 - 5(8-1)) = 8(50 - 35) = 8(15) = $120 for eight lines
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\n" ); document.write( "4. what would be the factored form and the general form for the total costs of the family plan as a function of the number of lines beyond 2
\n" ); document.write( "f(x) = x(50 - 5(x-1))
\n" ); document.write( "f(x) = x(50 - 5x + 5)
\n" ); document.write( "f(x = 50x - 5x^2 + 5x
\n" ); document.write( "f(x) = -5x^2 + 55x
\n" ); document.write( "can be factored to
\n" ); document.write( "f(x) = -5x(x - 11)
\n" ); document.write( "This is interesting in that if you get 11 lines, you pay 0!
\n" ); document.write( "If you get 12 lines they pay you $60!
\n" ); document.write( "Maybe I missed something here
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\n" ); document.write( "You are not a dumb parent, you are a smart parent, the dumb parent does not try to personally help his child. CK
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