document.write( "Question 1143855: A school district purchases a high volume printer, copier, and scanner for $25,000. After 10 years, equipment all had to be replaced. It’s value at that time is expected to be $2000. Write a linear equation giving the value of the equipment for each year tea during its 10 years of use. \n" ); document.write( "
Algebra.Com's Answer #764783 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the value went from 25000 to 2000 in 10 years. \n" ); document.write( "the loss in value each year is (25000 - 2000) / 10 = 23000 / 10 = 2300. \n" ); document.write( "linear equation form is y = mx + x \n" ); document.write( "m is the slope. \n" ); document.write( "b is the y-intercept. \n" ); document.write( "y is the value. \n" ); document.write( "x is the number of years. \n" ); document.write( "the slope becomes -2300 because it's a loss each year. \n" ); document.write( "you have two coordinate points on the line. \n" ); document.write( "they are (0,25,000) and (10,2000) \n" ); document.write( "since the slope is -2300, the general form of the equation becomes y = -2300 * x + b \n" ); document.write( "to find the value of b, replace (x,y) with the value for one of the points and then solve for b. \n" ); document.write( "i used the point (0,25000) \n" ); document.write( "the equation of y = -2300 * x + b becomes 25000 = -2300 * 0 + b \n" ); document.write( "simplify to get 25000 = b. \n" ); document.write( "you have m = -2300 and b = 25000, so the equation becomes y = -2300 * x + 25000 \n" ); document.write( "solve this equation for x = 0 and for x = 10. \n" ); document.write( "when x = 0, y = 25000 \n" ); document.write( "when x = 10, y = -2300 * 10 + 25000 = -23000 + 25000 = 2000. \n" ); document.write( "the equation is good. \n" ); document.write( "the equation can be graphed as shown below: \n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " |