Question

The Sugar Sweet Company is going to transport its sugar to market. It will cost $5250 to rent trucks, and it will cost an additional $175 for each ton of sugar transported. 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

C(s)=175s+5250

So to graph this you only need two points because it is a linear function and the velocity is constant.

When s=0, c=5250, so you have the point (0, 5250).  The you can just use the next point, (1, 5425).  Now you can connect the two dots and extend as far upward and to the right as necessary.  Do not go to the left and down as negative s values have no meaning to this real world problem as sugar cannot be negatively shipped :P