The Sugar Sweet Company is going to transport its sugar to market. It will cost $4350 to rent trucks, and it will cost an additional $150 for each ton of sugar transported.

Question

Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.

Answer 1

The total cost, C, is going to be both the cost of renting the trucks ($4350) and the cost of moving a number, S, of tons of sugar (150S) so:

C = 150S + 4350

To graph this you can think of it as being in the slope-intercpet form of a linear line (y = mx + b) where:

y = C

m = slope = 150

x = S

b = y intercept = 4350