document.write( "Question 1166940: Each week 5 new office phones are installed in a major network company. At the beginning of March, 200 phones had already been installed. Write a linear equation to model this situation. Do not use spaces in the equation. \n" ); document.write( "
Algebra.Com's Answer #791511 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the linear equation is y=m*x+b \n" ); document.write( "m is the slope. \n" ); document.write( "b is the y-intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in this problem: \n" ); document.write( "y = the total number of phones that are installed \n" ); document.write( "x = the number of weeks from march 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "on march 1, x = 0. \n" ); document.write( "this makes the y-intercept of the equation equal to 200 because the y-intercept is the value of y when x = 0. \n" ); document.write( "when x = 0, the equation becomes y = m*0 + b which simplifies to y = b. \n" ); document.write( "the equation becomes y=m*x+200 \n" ); document.write( "each week, 5 new phones are installed. \n" ); document.write( "this makes m = 5. \n" ); document.write( "the equation becomes y=5x+200\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that should be your solution. \n" ); document.write( "when x = 0, y = 200 \n" ); document.write( "when x = 1, y = 205 \n" ); document.write( "when x = 2, y = 210 \n" ); document.write( "when x = 10, y = 250 \n" ); document.write( "etc.....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0 means march 1. \n" ); document.write( "x = 1 means 1 week after march 1. \n" ); document.write( "x = 2 means 2 weeks after march 1. \n" ); document.write( "x = 10 means 10 weeks after march 1. \n" ); document.write( "etc.....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation can be graphed as shown below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the actual dates can be found as follows: \n" ); document.write( "x = 0 is march 1 \n" ); document.write( "x = 1 is march 8 \n" ); document.write( "x = 2 is march 15 \n" ); document.write( "x = 10 is may 10 \n" ); document.write( "etc.....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you just look at the calendar and count the weeks from march 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |