Question 1147673: Identify the information given to you in the application problem below. Use that information to answer the questions that follow.
Round your answers to two decimal places as needed.
The equation
P=430n−11610 represents a computer manufacturer's profit P when n computers are sold.
Identify the slope, and complete the following sentence to explain the meaning of the slope.
Slope:
The company earns $ per computer sold.
Find the y-intercept. Write your answer as an Ordered Pair:
Complete the following sentence to explain the meaning of the y-intercept.
If the company sells ? computers, they will not make a profit. They will lose $?.
Find the x-intercept. Write your answer as an Ordered Pair:
Complete the following sentence to explain the meaning of the x-intercept.
If the company sells ? computers, they will break even. They will earn $?
Evaluate P when n=37. Write your answer as an Ordered Pair:
Complete the following sentence to explain the meaning of the Ordered Pair
If the company sells ? computers, they will earn $?.
Find the value of n where P=14190. Write your answer as an Ordered Pair:
Complete the following sentence to explain the meaning of the Ordered Pair.
The company will earn $? if they sell ? computers.
Found 2 solutions by josmiceli, Theo:
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! 
(1)
The company earns $430 per computer sold.
(2)
The y-intercept in this case is ( 0, P )
The ordered pair is ( 0, -11610 )
(3)
If the company sells 0 computers, they will not make a profit. They will lose $11610
(4)
The x-intercept is at ( n, 0 )
( 27, 0 ) is the ordered pair
(5)
If the company sells 27 computers, they will break even. They will earn $0
(6)
The ordered pair is ( 37, 4300 )
(7)
If the company sells 37 computers, they will earn $4,300
(8)
The ordered pair is ( 60, 14190 )
(9)
The company will earn $14,190 if they sell 60 computers.
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check the math
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website! the equation is P = 430 * n - 11610
since this equation is in slope intercept form, then:
the slope is 430
the y-intercept is 11610.
the slope represents the additional revenue for each computer sold.
the y-intercept represents the cost.
this cost is the same, regardless of how many computers are sold.
the y-intercept is at the point (x,y) = (0,11610).
the y-intercept is the value of y when the value of x is equal to 0.
if the company doesn't sell any computers, they will take a loss of 11610 dollars.
the x-intercept is calculated as follows:
start with P = 430 * n - 11610
set P equal to 0 to get 430 * n - 11610 = 0
add 11610 to both sides of this equation to get 430 * n = 11610
divide both sides of this equation by 430 to get n = 11610 / 430 = 27.
the x-intercept is at the point (x,y) = (27,0).
the x-intercept is the value of x when y = 0.
the company will break even when 27 computers are sold.
if less than 27 computers are sold, the company will take an overall loss.
if more than 27 computers are sold, the company will make an overall profit.
when n = 37, P = 430 * n - 11610 becomes P = 430 * 37 - 11610 which becomes P = 15910 - 11610 which becomes P = 4300.
the ordered pair for this is (x,y) = (37,4300).
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.
this is done for graphing purposes.
the y-intercept means the same as the P intercept.
it's the value of y when x is equal to 0.
it's the value of P when n is equal to 0.
the x-intercept means the same as the n intercept.
it's the value of x when y is equal to 0.
it's the value of n when P is equal to 0.
the ordered pair of (37,4300) means the company earns a profit of 4300 dollars when 37 computers are sold.
when P = 14190, you find the value of n as follows:
P = 430 * n - 11610 becomes 14190 = 430 * n - 11610.
add 11610 to both sides of this equation to get 14190 + 11610 = 430 * n
combine like terms to get 25800 = 430 * n
solve for n to get n = 25800 / 430 = 60
the company will make an overall profit of 14190 when 60 computers are sold.
the ordered pair for this would be (x,y) = (60,14190).
it could also be shown as (n,P) = (60,14190).
most of the time, however, x and y are used for graphing purposes.
the graph of the equation and the pertinent points on that graph are shown below.
the coordinates shown are (x,y) coordinates.
they represent (n,P) coordinates when referencing the original equation you were given.
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