document.write( "Question 1129312: In 2010 your car was worth $12,000. In 2012 your car was worth $8,700.
\n" ); document.write( "A)Suppose the value of your car decreased at a constant rate of change. Write a function f that determines the value of your car (in dollars) in terms of the number of years t since 2010.
\n" ); document.write( "B)Suppose the value of your car decreased exponentially. Write a function g that determines the value of your car (in dollars) in terms of the number of years t since 2010. \n" ); document.write( "

Algebra.Com's Answer #746003 by josmiceli(19441) $\"\"$ $\"About$

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A)
\n" ); document.write( "Let $\"+t+\"$ = yrs since 2010
\n" ); document.write( "slope = $\"+m+\"$
\n" ); document.write( " $\"+m+=+%28+8700+-+12000+%29%2F2+\"$
\n" ); document.write( " $\"+m+=+-3300%2F2+\"$
\n" ); document.write( " $\"+m+=+-1650+\"$
\n" ); document.write( "The vertical intercept must be $\"+12000+\"$ , since
\n" ); document.write( "that is the value when $\"+t=0+\"$
\n" ); document.write( " $\"+f%28t%29+=+-1650t+%2B+12000+\"$
\n" ); document.write( "------------------------------------
\n" ); document.write( "B)
\n" ); document.write( " $\"+g%282%29+=+8700+\"$
\n" ); document.write( " $\"+8700+=+12000%2A%28+1+-+r+%29%5E2+\"$
\n" ); document.write( " $\"+.725+=+%28+1+-+r+%29%5E2+\"$
\n" ); document.write( " $\"+1+-+r+=+sqrt%28+.725+%29+\"$
\n" ); document.write( " $\"+1+-+r+=+.85147+\"$
\n" ); document.write( " $\"+r+=+.1485+\"$
\n" ); document.write( "----------------------
\n" ); document.write( " $\"+g%28t%29+=+12000%2A%28+1+-+.1485+%29%5Et+\"$
\n" ); document.write( "check:
\n" ); document.write( " $\"+t+=+2+\"$
\n" ); document.write( " $\"+g%282%29+=+12000%2A.85147%5E2+\"$
\n" ); document.write( " $\"+g%282%29+=+12000%2A.725+\"$
\n" ); document.write( " $\"+g%282%29+=+8700+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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