document.write( "Question 75285: Business and finance. The cost for a long-distance telephone call is $.036 for the first minute and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3.
\n" );
document.write( "Please help I cannot figure this one out. Here is my inequality so far 36+21+x>3 \n" );
document.write( "
Algebra.Com's Answer #54027 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "THE EQUALITY SIGN MUST BE A <= SIGN BECAUSE WE ARE TOLD THAT THE COST CAN'T EXCEED $3.00. AT LEAST YOU GAVE IT A SHOT BUT I'M NOT SURE THAT I CAN FOLLOW WHAT YOU DID. SEE WHAT YOU THINK ABOUT MY APPROACH:\r \n" ); document.write( "\n" ); document.write( "FIRST, I'M ASSUMING YOU MEANT $0.36 AND NOT $0.036\r \n" ); document.write( "\n" ); document.write( "Anyway, let's deal in pennies to make life more simple\r \n" ); document.write( "\n" ); document.write( "Let x=number of minutes a person can talk without exceeding 300 (pennies) \n" ); document.write( "First minute cost=36 cents \n" ); document.write( "additional minutes cost 21 cents per minute\r \n" ); document.write( "\n" ); document.write( "So our equation is:\r \n" ); document.write( "\n" ); document.write( "36+21(x-1)<= 300 ----------------this is what I get (Note that I subtracted out the first minute) \n" ); document.write( "36+21x-21 <=300 \n" ); document.write( "21x+15 <=300 subtract 15 from both sides \n" ); document.write( "21x+15-15 <=300-15 collect like terms\r \n" ); document.write( "\n" ); document.write( "21x <=285 divide both sides by 21\r \n" ); document.write( "\n" ); document.write( "x<=13.5714 or 13 minutes (We can't round up because x is LESS THAN OR EQUAL TO 13.5714). Also, if you try 14, you will find that it breaks the bank. \r \n" ); document.write( "\n" ); document.write( "ck \n" ); document.write( "36 +12*21<=300 \n" ); document.write( "36+252<=300 \n" ); document.write( "288 <= 300 another minute would cost 21 cents--no can do!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |