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
View Correct 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.