The Sugar Sweet Company is going to transport its sugar to m

The Sugar Sweet Company is going to transport its sugar to market. It will cost $5500 to rent trucks plus $150 for each ton of sugar transported. The total cost, C (in dollars), for transporting n tons is given by the following function. C(n) = 5500 + 150n Answer the following questions. (a) What is the total cost of transporting 12 tons? (b) If the total cost is $8800, how many tons is the company transporting?

Solution

C(n)=5500 +150n

a) total cost of transporting 12 tons

n =12

C(12)=5500 +(150*12)

C(12)=5500 +1800

C(12)=7300

b)total cost =8800

5500 +150n=8800

150n=8800-5500

150n=3300

n=3300/150

n=22

22 tons is the company transporting