document.write( "Question 431807: A small business buys a piece of equipment for $2,500. After 10 years, the equipment will have a value of $500. Write the equation for the value of the equipment y after x years \n" ); document.write( "

Algebra.Com's Answer #299557 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"y\"$ = value of the equipment after $\"x\"$ years
\n" ); document.write( "You are given the points (x,y):
\n" ); document.write( "(0,2500) and (10, 500)
\n" ); document.write( "The point-slope formula is:
\n" ); document.write( " $\"+%28+y+-+500+%29+%2F+%28x+-+10+%29+=+%282500+-+500+%29+%2F+%28+0+-+10+%29+\"$
\n" ); document.write( " $\"+%28+y+-+500+%29+%2F+%28x+-+10+%29+=+2000+%2F+%28+-+10+%29+\"$
\n" ); document.write( " $\"+-10%2A%28+y+-+500+%29+=+2000%2A%28+x+-+10+%29+\"$
\n" ); document.write( " $\"+-y+%2B+500+=+200x+-+2000+\"$
\n" ); document.write( " $\"+-y+=+200x+-+2500+\"$
\n" ); document.write( " $\"+y+=+-200x+%2B+2500+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "check answer:
\n" ); document.write( " $\"x+=+10\"$
\n" ); document.write( " $\"+y+=+-200%2A10+%2B+2500+\"$
\n" ); document.write( " $\"+y+=+500+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );