SOLUTION: The linear profit equation for a company that sells plastic airtight containers is P=a+bx, where P is the profit in Rands, x is the number of units sold,a and b are constants. When

Question 947378: The linear profit equation for a company that sells plastic airtight containers is P=a+bx, where P is the profit in Rands, x is the number of units sold,a and b are constants. When 100 units are sold, the profit is R 21 000 and when 450 units are sold, the profit is R 126 000.
Determine the values of a and b
Draw a neat graph showing profit as a function of the number of units sold.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

----------------
(1)
(2)
--------------------------
Subtract (1) from (2)
(2)
(1)
----------------------------

and
(1)
(2)
(2)
(2)
---------------------------
The equation is:

-----------------------
check:
When 450 units are sold, the profit is R 126 000

----------------------
Here's a plot:

This graph has units on both axes scaled down
by a factor of , so a has to be
added to all the scale numbers. The equation
on this graph actually looks like:

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