The sugar sweet company is going to transport its sugar to market. It will cost $6500 to rent trucks plus $150 for each ton of sugar transported.the total cost, c (in dollars), for transporting n tons in given by the following function

Question

The sugar sweet company is going to transport its sugar to market. It will cost $6500 to rent trucks plus $150 for each ton of sugar transported.the total cost, c (in dollars), for transporting n tons in given by the following function

C(n)=6500+150n
Answer the following question
(a)=if the total cost is 9800, how many tons is the company transporting
______tons
(b)what is the total cost of transporting 14 tons
$_______

Answer 1

(a) To find the number of tons the company is transporting when the total cost is $9800, we can set up the equation:

9800 = 6500 + 150n

Subtracting 6500 from both sides of the equation:

3300 = 150n

Dividing both sides of the equation by 150:

n = 22

Therefore, the company is transporting 22 tons.

(b) To find the total cost of transporting 14 tons, we can plug in the value of n into the equation:

C(n) = 6500 + 150(14)

Calculating:

C(n) = 6500 +2100

C(n) = 8600

Therefore, the total cost of transporting 14 tons is $8600.