document.write( "Question 1094498: The Wayside Hotel charges its guests $1 plus $0.80 per minute for long distance calls. Across the street, the Blue Sky Hotel charges its guests $2 plus $0.75 per minute for long distance calls. Find the length of a call for which the two hotels charge the same amount. How do you solve this equation? \n" ); document.write( "

Algebra.Com's Answer #709077 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+A+\"$ = the amount of the bill in dollars
\n" ); document.write( "Let $\"+t+\"$ = time in minutes for long distance calls
\n" ); document.write( "For Wayside:
\n" ); document.write( "(1) $\"+A+=+.8t+%2B+1+\"$
\n" ); document.write( "For Blue Sky:
\n" ); document.write( "(2) $\"+A+=+.75t+%2B+2+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Make the amounts equal to eachother
\n" ); document.write( " $\"+.8t+%2B+1+=+.75t+%2B+2+\"$
\n" ); document.write( " $\"+.05t+=+1+\"$
\n" ); document.write( " $\"+t+=+20+\"$
\n" ); document.write( "------------
\n" ); document.write( "For a 20 min call, both charge the same
\n" ); document.write( "------------
\n" ); document.write( "Here's a plot for both:
\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-5%2C+40%2C+-5%2C+30%2C+.75x+%2B+2%2C+.8x+%2B+1+%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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