SOLUTION: The Linear 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, and a andb are constants. When 1

Question 964049: The Linear 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, and a andb are constants. When 100 units are sold, the profit is R21 000 and when 450 units are sold, the profit is R126 000.
Determine the values if a and b.
Draw a neat graph showing profit as a function of the number of units sold.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The Linear 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,
and a and b are constants.
:
When 100 units are sold, the profit is R21 000
a + 100b = 21000
and when 450 units are sold, the profit is R126 000.
a + 450b = 126000
:
Determine the values if a and b.
Subtract the 1st equation from the 2nd equation
a + 450b = 126000
a + 100b = 21000
------------------Eliminates a, find b
0 + 350b = 105000
b = 105000/350
b = 300
Find a using the 1st equation
a + 100(300) = 21000
a + 30000 = 21000
a = 21000 - 30000
a = -9000
:
The equation P = 300x - 9000
Draw a neat graph showing profit as a function of the number of units sold.

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