document.write( "Question 1057509: You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the restaurant is given by y=-50x+75, where x is the number of hours since your friend left home. You live 90 miles from the restaurant and arrive at the same time as your friend. Write a linear equation that represents your distance from the restaurant \n" ); document.write( "

Algebra.Com's Answer #672551 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+y+=+-50x+%2B+75+\"$
\n" ); document.write( "When $\"+x+=+0+\"$ , the friend hasn't left yet
\n" ); document.write( "and $\"+y+=+75+\"$ miles
\n" ); document.write( "------------------------
\n" ); document.write( "When $\"+x+=+75%2F50+\"$ , the friend has
\n" ); document.write( "arrived at restaurant
\n" ); document.write( "( $\"+y+=+0+\"$ )
\n" ); document.write( "-------------------------
\n" ); document.write( "Let $\"+x+\"$ = number of hrs since you left home
\n" ); document.write( "( same as friend )
\n" ); document.write( " $\"+k+\"$ is unknown
\n" ); document.write( " $\"+y+=+-k%2Ax+%2B+90+\"$
\n" ); document.write( " $\"+y+=+-k%2Ax++%2B+90+\"$
\n" ); document.write( "Note that when $\"+x+=+75%2F50+\"$ then $\"+y+=+0+\"$
\n" ); document.write( "( arrived at restaurant )
\n" ); document.write( " $\"+0+=+-k%2A%28+75%2F50+%29+%2B+90+\"$
\n" ); document.write( " $\"+k%2A%28+75%2F50+%29+=+90+\"$
\n" ); document.write( " $\"+k+=+%28+50%2F75+%29%2A90+\"$
\n" ); document.write( " $\"+k+=+%28+2%2F3%29%2A90+\"$
\n" ); document.write( " $\"+k+=+60+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Your equation that represents your
\n" ); document.write( "distance from the restaurant is:
\n" ); document.write( " $\"+y+=+-60x+%2B+90+\"$
\n" ); document.write( "( when $\"+x=0+\"$ , distance to restaurant is $\"+90+\"$ )\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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