document.write( "Question 259736: The cost of a telephone call using long-distance carrier A is $1.00 for any time up to and including 20 minutes and $0.07 per minute thereafter. The cost using long-distance carrier B is $0.06 per minute for any amount of time. For a call that lasts t minutes, the cost using carrier A is the same as the cost using carrier B. If t is a positive integer greater than 20, what is the value of t? \n" ); document.write( "
Algebra.Com's Answer #191189 by drk(1908) ![]() You can put this solution on YOUR website! PLAN A: \n" ); document.write( "If t <= 20, then 1$ \n" ); document.write( "If t> 20, then .07*(x-20) \n" ); document.write( "-- \n" ); document.write( "PLAN B \n" ); document.write( "if t > 0, then .06t \n" ); document.write( "-- \n" ); document.write( "To be the same cost we set them equal and get \n" ); document.write( ".07*(t-20) + 1 = .06t \n" ); document.write( "using distributive property, we get \n" ); document.write( ",07t -1.4 + 1 = .06t \n" ); document.write( "combining like terms, we get \n" ); document.write( ".07t -.4 = .06t \n" ); document.write( "subtracting .07t, we get \n" ); document.write( "-.4 = -.01t \n" ); document.write( "dividing we get \n" ); document.write( "t = 40 \n" ); document.write( "So, we have a 40 minute call being the same cost. \n" ); document.write( " |