document.write( "Question 1189714: Ana wants to subscribe to a movie streaming service on her TV. She has two options: \r
\n" ); document.write( "\n" ); document.write( "Option A charges a fee of $13.00 per month and provides unlimited movies.\r
\n" ); document.write( "\n" ); document.write( "Option B charges a fee of $4.00 per month plus $2.50 for each movie watched.\r
\n" ); document.write( "\n" ); document.write( "How many movies does Ana need to watch to make Option A worth the cost? \n" ); document.write( "

Algebra.Com's Answer #821152 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
optioon A = 13 per month with unlimited movies.
\n" ); document.write( "option B = 4 per month plus 2.50 for each movie.\r
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\n" ); document.write( "\n" ); document.write( "the breakeven point is when cost for option A equals cost for option B.
\n" ); document.write( "that occurs when 13 = 4 + 2.5 * x
\n" ); document.write( "x is the number of movies watched.
\n" ); document.write( "subtract 4 from sides of the equation to get 9 = 2.5 * x
\n" ); document.write( "solve for x to get x = 9/2.5 = 3.6
\n" ); document.write( "at less than or equal to 3 movies, option A is more expensive.
\n" ); document.write( "at greater than or equal to 4 movies, option B is more expensive.\r
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\n" ); document.write( "\n" ); document.write( "you have two equations.
\n" ); document.write( "they are:
\n" ); document.write( "y = 13 and y = 4 + 2.5 * x
\n" ); document.write( "subtract the second equation from the first to get:
\n" ); document.write( "y = 13 - 4 - 2.5 * x
\n" ); document.write( "simplify to get:
\n" ); document.write( "y = 9 - 2.5 * x
\n" ); document.write( "when the graph is positive, option A is more expensive.
\n" ); document.write( "when the graph is negative, option B is more expensive.
\n" ); document.write( "the graph looks like this.\r
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\n" ); document.write( "\n" ); document.write( "you can also graph the equations separately.
\n" ); document.write( "you would graph y = 13 and y = 4 + 2.5 * x
\n" ); document.write( "that graph looks like this.\r
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\n" ); document.write( "\n" ); document.write( "you can also create a table around the breakeven point.
\n" ); document.write( "the table would look like this:
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document.write( "x           y1 = 13          y1 = 4 + 2.5 * x        y1 - y2\r\n" );
document.write( "2              13                  9                    4\r\n" );
document.write( "3              13                  11.5                 1.5\r\n" );
document.write( "4              13                  14                   -1\r\n" );
document.write( "5              13                  16.5                 -3.5\r\n" );
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\n" ); document.write( "\n" ); document.write( "all graphs and tables point to the fact that, at 3 movies or less per month, option A is more expensive, while at 4 movies or more per month, option B is more expensive.\r
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\n" ); document.write( "\n" ); document.write( "ana would need to watch 4 movies or more per month to make option A worth the cost.\r
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