Question

The Sugar Sweet Company delivers sugar to its customersC be the total cost to transport the sugar (dollars)Let S be the amount of sugar transported (in )The company can transport up to 40 tons of sugar Suppose that C = 130S + 1500gves of the description of the the and of the functionThen for each, choose the most appropriate of

Answer 1

Since C is the cost of the sugar transported

Since S is the amount of sugar transported, then

The domain is S

The range is C

Domain: the amount of sugar transported (in tons)

Range: the cost to transport sugar (in dollars)

Since the company can transport up to 40 tons of sugar, then

Domain: The set of all real numbers from 0 to 40

Since the range is the value of C, then if S = 0, then

`\begin{gathered} S=0 \\ C=130(0)+1500 \\ C=1500 \end{gathered}`

The smallest value of C is $1500

Since the greatest value of S is 40, then

`\begin{gathered} S=40 \\ C=130(40)+1500 \\ C=6700 \end{gathered}`

The greatest value of C is $6700

Then the range must be between 1500 and 6700

Range: The set of all real numbers from 1500 to 6700