document.write( "Question 938653: Violet knows that her subscription rate for cable increased from $18.20 to $19.50 at some point during the calendar year. She paid a total of $230.10 for the year to the cable company. Determine the month of the rate increase. \n" ); document.write( "
Algebra.Com's Answer #571899 by ankor@dixie-net.com(22740)\"\" \"About 
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Violet knows that her subscription rate for cable increased from $18.20 to $19.50
\n" ); document.write( " at some point during the calendar year.
\n" ); document.write( "She paid a total of $230.10 for the year to the cable company.
\n" ); document.write( " Determine the month of the rate increase.
\n" ); document.write( ":
\n" ); document.write( "let x = the no. months at 18.20
\n" ); document.write( "then
\n" ); document.write( "(12-x) = no. of months at 19.50
\n" ); document.write( ":
\n" ); document.write( "18.20x + 19.50(12-x) = 230.10
\n" ); document.write( "18.20x + 234 - 19.50x = 230.10
\n" ); document.write( "18.20x - 19.50x = 230.10 - 234
\n" ); document.write( "-1.3x = -3.9
\n" ); document.write( "x = -3.9/-1.3
\n" ); document.write( "x = +3 months at the original rate
\n" ); document.write( "The new rate came in the 4th month, April
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that checks out
\n" ); document.write( "3(18.20) = 54.60
\n" ); document.write( "9(19.50) = 175.50
\n" ); document.write( "-------------------
\n" ); document.write( "total for yr: 230.10 \n" ); document.write( "
\n" );