document.write( "Question 1147673: Identify the information given to you in the application problem below. Use that information to answer the questions that follow. \r
\n" ); document.write( "\n" ); document.write( "Round your answers to two decimal places as needed.
\n" ); document.write( "The equation
\n" ); document.write( "P=430n−11610 represents a computer manufacturer's profit P when n computers are sold.
\n" ); document.write( "Identify the slope, and complete the following sentence to explain the meaning of the slope. \r
\n" ); document.write( "\n" ); document.write( "Slope: \r
\n" ); document.write( "\n" ); document.write( "The company earns $ per computer sold.
\n" ); document.write( "Find the y-intercept. Write your answer as an Ordered Pair: \r
\n" ); document.write( "\n" ); document.write( "Complete the following sentence to explain the meaning of the y-intercept.\r
\n" ); document.write( "\n" ); document.write( "If the company sells ? computers, they will not make a profit. They will lose $?.
\n" ); document.write( "Find the x-intercept. Write your answer as an Ordered Pair: \r
\n" ); document.write( "\n" ); document.write( "Complete the following sentence to explain the meaning of the x-intercept.\r
\n" ); document.write( "\n" ); document.write( "If the company sells ? computers, they will break even. They will earn $?
\n" ); document.write( "Evaluate P when n=37. Write your answer as an Ordered Pair: \r
\n" ); document.write( "\n" ); document.write( "Complete the following sentence to explain the meaning of the Ordered Pair\r
\n" ); document.write( "\n" ); document.write( "If the company sells ? computers, they will earn $?.
\n" ); document.write( "Find the value of n where P=14190. Write your answer as an Ordered Pair: \r
\n" ); document.write( "\n" ); document.write( "Complete the following sentence to explain the meaning of the Ordered Pair.\r
\n" ); document.write( "\n" ); document.write( "The company will earn $? if they sell ? computers. \n" ); document.write( "
Algebra.Com's Answer #769045 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the equation is P = 430 * n - 11610
\n" ); document.write( "since this equation is in slope intercept form, then:
\n" ); document.write( "the slope is 430
\n" ); document.write( "the y-intercept is 11610.
\n" ); document.write( "the slope represents the additional revenue for each computer sold.
\n" ); document.write( "the y-intercept represents the cost.
\n" ); document.write( "this cost is the same, regardless of how many computers are sold.
\n" ); document.write( "the y-intercept is at the point (x,y) = (0,11610).
\n" ); document.write( "the y-intercept is the value of y when the value of x is equal to 0.
\n" ); document.write( "if the company doesn't sell any computers, they will take a loss of 11610 dollars.
\n" ); document.write( "the x-intercept is calculated as follows:
\n" ); document.write( "start with P = 430 * n - 11610
\n" ); document.write( "set P equal to 0 to get 430 * n - 11610 = 0
\n" ); document.write( "add 11610 to both sides of this equation to get 430 * n = 11610
\n" ); document.write( "divide both sides of this equation by 430 to get n = 11610 / 430 = 27.
\n" ); document.write( "the x-intercept is at the point (x,y) = (27,0).
\n" ); document.write( "the x-intercept is the value of x when y = 0.
\n" ); document.write( "the company will break even when 27 computers are sold.
\n" ); document.write( "if less than 27 computers are sold, the company will take an overall loss.
\n" ); document.write( "if more than 27 computers are sold, the company will make an overall profit.
\n" ); document.write( "when n = 37, P = 430 * n - 11610 becomes P = 430 * 37 - 11610 which becomes P = 15910 - 11610 which becomes P = 4300.
\n" ); document.write( "the ordered pair for this is (x,y) = (37,4300).
\n" ); document.write( "note that the equation P = 430 * n - 11610 translates to y = 430 * x - 11610 when you replace P with y and you replace n with x.
\n" ); document.write( "this is done for graphing purposes.
\n" ); document.write( "the y-intercept means the same as the P intercept.
\n" ); document.write( "it's the value of y when x is equal to 0.
\n" ); document.write( "it's the value of P when n is equal to 0.
\n" ); document.write( "the x-intercept means the same as the n intercept.
\n" ); document.write( "it's the value of x when y is equal to 0.
\n" ); document.write( "it's the value of n when P is equal to 0.
\n" ); document.write( "the ordered pair of (37,4300) means the company earns a profit of 4300 dollars when 37 computers are sold.
\n" ); document.write( "when P = 14190, you find the value of n as follows:
\n" ); document.write( "P = 430 * n - 11610 becomes 14190 = 430 * n - 11610.
\n" ); document.write( "add 11610 to both sides of this equation to get 14190 + 11610 = 430 * n
\n" ); document.write( "combine like terms to get 25800 = 430 * n
\n" ); document.write( "solve for n to get n = 25800 / 430 = 60
\n" ); document.write( "the company will make an overall profit of 14190 when 60 computers are sold.
\n" ); document.write( "the ordered pair for this would be (x,y) = (60,14190).
\n" ); document.write( "it could also be shown as (n,P) = (60,14190).
\n" ); document.write( "most of the time, however, x and y are used for graphing purposes.
\n" ); document.write( "the graph of the equation and the pertinent points on that graph are shown below.
\n" ); document.write( "\"$$$\"
\n" ); document.write( "the coordinates shown are (x,y) coordinates.
\n" ); document.write( "they represent (n,P) coordinates when referencing the original equation you were given.
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