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.
The cost per unit in the production of an MP3 player is $60. The manufacturer charges $90 per unit for orders of 100 or less. To encourage large orders, the manufacturer reduces the charge by $0.15 per MP3 player for each unit ordered in excess of 100 for example, the charge is reduced to $87 per MP3 player for an order size of 120. (a) The table shows the profits P (in dollars) for various numbers of units ordered, x. Use the table to estimate the maximum profit.(b) Plot the points (x, P) from the table in part (a). Does the relation defined by the ordered pairs represent Pas a function of x? (c) Given that P is a function of x, write the function and determine its domain.
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