document.write( "Question 124751: I need help with this word problem.\r
\n" ); document.write( "\n" ); document.write( "After 8 months of use, the value of Kathy's computer had depreciated to $890. After 10 months, the value had gone down to $750. Assume that the value of the computer, V, is a linear function of the number of months of use, t.\r
\n" ); document.write( "\n" ); document.write( "a) Write an equation for the value of the computer after t months of use.
\n" ); document.write( "b) How much did the computer cost originally?
\n" ); document.write( "c) What was the monthly depreciation?
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Algebra.Com's Answer #91460 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
After 8 months of use, the value of Kathy's computer had depreciated to $890. After 10 months, the value had gone down to $750. Assume that the value of the computer, V, is a linear function of the number of months of use, t.
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\n" ); document.write( "You have two points:
\n" ); document.write( "(8,890) and (10,750)
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\n" ); document.write( "a) Write an equation for the value of the computer after t months of use.
\n" ); document.write( "Slope = (750-890)/(10-8) = -140/2 = -70
\n" ); document.write( "Form is V=mt+b ; you have V, m, t, and can solve for \"b\".
\n" ); document.write( "750 = -70*10 + b
\n" ); document.write( "b = 1450
\n" ); document.write( "EQUATION:
\n" ); document.write( "V(t)=-70t + 1450
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\n" ); document.write( "b) How much did the computer cost originally?
\n" ); document.write( "V(0) = -70*0+1450 = 1450
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\n" ); document.write( "c) What was the monthly depreciation?
\n" ); document.write( "$70
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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