Final answer:
The range of the function C(x) = 6x is [0, 30].
Step-by-step explanation:
The linear cost function C(x) = 6x gives the cost for buying x items. Since the items are sold in packages of 10 and no one can buy more than 5 packages, the maximum value for x is 5. Substituting x=5 into the cost function gives C(5) = 6 * 5 = 30, which is the maximum cost. The minimum value for x is 0, which represents not buying any items. Therefore, the range of the function C is [0, 30].