The Sugar Sweet Company is going to transport its sugar to market. It will cost $6075 to rent trucks, and it will cost an additional $225 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 C, and then graph your equation using the axes below.

Answer 1

The equation representing the total cost C in terms of the amount of sugar S transported is:

C = $6075 + $225S

To graph this equation, we plot the y-intercept at $6075 and the slope of $225. The graph will be a straight line passing through the y-intercept (0,6075).

S is on the x-axis and C is on the y-axis. The graph will show a linear relationship between the cost and the amount of sugar transported.