A band wants to distribute its music on compact discs (CDs). The equipment to produce the CDs costs , and blank CDs cost for a package of . Which of the following represents the total cost, in dollars, to produce CDs, where is a multiple of ?
Select an Answer
The correct answer is B.
The cost of the equipment is , and each package of blank CDs costs . The total cost for the band to produce CDs, that is, package, is dollars, and the total cost to produce CDs, that is, packages, is dollars.
One way to determine the correct expression is to find the slope-intercept form of the equation of the line that passes through the two points given by the ordered pairs and . The line has slope and -intercept , which is the cost, in dollars, for the band to produce CDs after purchasing the equipment. The equation of this line is , where is the number of CDs used.
Alternatively, note that the total cost to produce CDs is dollars, and the cost to produce CDs is dollars, so, in general, if is a multiple of , then the total cost to produce CDs is dollars.