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.

The domain and the range of a function are the possible input and output values of the function.

The function is given as:

The domain

This is the possible S values of the function.

Hence, the domain of the function is:

The range

This is the possible C values of the function.

The function is given as:

When S = 0

The above means that:

Hence, the range of the function is:

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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.

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