A printer quotes a price of $7; 500 for printing 1,000 copies of a book and $15; 000 for printing 2,500 copies. Assuming a linear relationship and that 2000 books are printed: i. Find the equation relating the total cost y to x, the number of books printed. ii. What is the variable cost ? iii. What is the xed cost ?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
A printer quotes a price of $7; 500 for printing 1,000 copies of a book and $15; 000 for printing 2,500 copies.
Assuming a linear relationship and that 2000 books are printed:
i. Find the equation relating the total cost y to x, the number of books printed.
ii. What is the variable cost ?
iii. What is the xed cost ?
iv. What is the variable cost per book ?
v. What is the average cost per book ?
vi. What is the marginal cost of the last book printed ?
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