The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks plus $250 for each ton of sugar transported. The total cost, v (in dollars), for transporting tons is given by the following.

C=250n+6500
Answer the following questions.
If the total cost is 12,750 , how many tons is the company transporting?

What is the total cost of transporting 15 tons?

1 answer

To find the number of tons the company is transporting, we can substitute the given total cost of $12,750 into the equation and solve for n.

C = 250n + 6500
12,750 = 250n + 6500

Subtract 6500 from both sides:
12,750 - 6500 = 250n + 6500 - 6500
6250 = 250n

Divide both sides by 250:
6250/250 = 250n/250
25 = n

Therefore, the company is transporting 25 tons.

To find the total cost of transporting 15 tons, we can substitute n = 15 into the equation:

C = 250n + 6500
C = 250(15) + 6500
C = 3750 + 6500
C = $10,250

Therefore, the total cost of transporting 15 tons is $10,250.