(a) What is the total cost of transporting tons?

Question

The Sugar Sweet Company is going to transport its sugar to market. It will cost 7500 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.

If the total cost is 12,225 , how many tons is the company transporting?

what is the total cost of transporting 14 tons?

Answer 1

Anastasia

We can model the total cost C, using a line.

C = mN + b

m = slope = cost per ton

b = y intercept = fixed cost

Using the information in the second sentence, write down m, b, and the expression for C

Then you need to find N when C = 12 225

[ you can solve this algebraically, or draw the line on Desmos and find x when the y coordinate is 12 225]