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 R21000 and when 450 units are sold, the profit is R126000.
Determine the values of a and b
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 R21000 and when 450 units are sold, the profit is R126000.
Determine the values of a and b
21,000= a + 100b, where a=21,000 - 100b
126,000= a + 450b, we substitute,
126,000=21,000 - 100b +450b
126,000 - 21,000=350b
105,000=350b
b=105,000/350
b=300 and a=-9,000
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 R21000 and when 450 units are sold, the profit is R126000.
Determine the values of a and b
21,000= a + 100b, where a=21,000 - 100b
126,000= a + 450b, we substitute,
126,000=21,000 - 100b +450b
126,000 - 21,000=350b
105,000=350b
b=105,000/350
b=300 and a=-9,000
