The Sugar Sweet Company delivers sugar to its customers. Let C be the total cost to transport the sugar (in dollars). Let S be the amount of sugar transported (in tons). The company can transport up to 30 tons of sugar. Suppose that C = 130S + 3500 gives C as a function of S. Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.

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Mathematics

Chocolate

25 January, 17:00

The Sugar Sweet Company delivers sugar to its customers. Let C be the total cost to transport the sugar (in dollars). Let S be the amount of sugar transported (in tons). The company can transport up to 30 tons of sugar. Suppose that C = 130S + 3500 gives C as a function of S. Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.

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Jayson Carey · Answer 1

Transportation cost: c=130s + 3500, where s is the weight of the sugar transported, in tons. What are possible values of s? Surely, 0 is the smallest: no sugar transported = > no transportation cost. What is the smallest possible value for c? If no sugar is transported, then s=0 and c=$3500.

In summary, the domain of s is [0, S) and that of c (s) is [$3500, C), where S (capital letter) is the maximum load of sugar that can be transported and C is the corresponding maximum freight charge for S tons of sugar. Note that s cannot be zero, and c cannot be less than $3500.