Question

The sugar sweet company is going to transport its sugar to market. It will cost 5500 to rent trucks plus $175 for each ton of sugar transported. The total cost C (in dollars) for transporting n tons is given by the following functionC(n)=5500+175nWhat is the total cost of transporting 12 tons?If the cost is $9525, how many tons is the company transporting?

Answer 1

The cost function is given as:

`C(n)=5500+175n`

a)

`\begin{gathered} The\text{ cost of transporting 12 tons:} \\ C(12)=5500+175(12) \\ C(12)=\text{ \$7600} \end{gathered}`

b)

`\begin{gathered} C(n)=5500+175n \\ \Rightarrow9525=5500+175n \\ \Rightarrow9525-5500=175n \\ \Rightarrow4025=175n \\ \Rightarrow n=(4025)/(175) \\ n=23\text{ tons} \end{gathered}`