The sugar sweet company is going to transport its sugar to market.it will cost $3500 to rent trucks plus $225 for each ton of sugar transported.the total cost,c(in dollars), for transporting n tons is given by the following function

Question

C(n)=3500+225n
Answer the following question
A) what is the total cost of transporting 12 tons
$________
B)if the total cost is $8675, how many tons is the company transporting
____tons

Answer 1

A) To find the total cost of transporting 12 tons, we can substitute n = 12 into the given function:
C(n) = 3500 + 225n
C(12) = 3500 + 225(12)
C(12) = 3500 + 2700
C(12) = 6200

Therefore, the total cost of transporting 12 tons is $6,200.

B) To find the number of tons the company is transporting when the total cost is $8675, we can set the cost function equal to $8675 and solve for n:
C(n) = 3500 + 225n
$8675 = 3500 + 225n

Subtracting 3500 from both sides:
$8675 - $3500 = 225n
$5175 = 225n

Dividing both sides by 225:
n = $5175 / 225
n = 23

Therefore, the company is transporting 23 tons when the total cost is $8675.