document.write( "Question 1154261: Amira's car is worth ​$14,890 now and expected to be worth ​$11,461 in 3 years. Assuming linear​ depreciation, find a linear depreciation function for this car and estimate its value in 7 years.\r
\n" ); document.write( "\n" ); document.write( "What is the linear depreciation function for this​ car?
\n" ); document.write( "f(x)=_______
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Algebra.Com's Answer #776672 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+r+\" = the rate of depreciation
\n" ); document.write( "Let \"+x+\" = number of years from now
\n" ); document.write( "Let \"+f%28x%29+\" = the current value of the car
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\n" ); document.write( "\"+f%28x%29+=+14890%2A%28+1+-+r%2Ax+%29+\"
\n" ); document.write( "and
\n" ); document.write( "\"+r+=+%28+14890+-+11461+%29+%2F+3+\"
\n" ); document.write( "\"+r+=+3429%2F3+\"
\n" ); document.write( "\"+r+=+1143+\"
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\n" ); document.write( "\"+f%28x%29+=+14890+-+1143x++\" answer
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\n" ); document.write( "In 7 years:
\n" ); document.write( "\"+f%287%29+=+14890+-+1143%2A7+\"
\n" ); document.write( "\"+f%287%29+=+14890+-+8001+\"
\n" ); document.write( "\"+f%287%29+=+6889+\"
\n" ); document.write( "The value in 7 yrs is $6,889
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\n" ); document.write( "Here's the plot:
\n" ); document.write( "\"+graph%28+400%2C+400%2C+-5%2C+15%2C+-1500%2C+18000%2C+14890+-+1143x+%29+\" \r
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