yourlilgirl
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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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altavistard

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.

MrRoyal

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

The function is given as:

[tex]\mathbf{C = 130S + 3500}[/tex]

The domain

This is the possible S values of the function.

  • S cannot be less than 0, because it represents a physical quantity (i.e. tons of sugar)
  • The value of S can be any value greater than 0

Hence, the domain of the function is: [tex]\mathbf{[0,\infty)}[/tex]

The range

This is the possible C values of the function.

The function is given as:

[tex]\mathbf{C = 130S + 3500}[/tex]

When S = 0

[tex]\mathbf{C = 130 \times 0 + 3500 = 3500}[/tex]

The above means that:

  • C cannot be less than 3500
  • The value of C can be any value greater than 3500

Hence, the range of the function is: [tex]\mathbf{[3500,\infty)}[/tex]

Read more about domain and range at:

https://brainly.com/question/4767962

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