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?
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.