the Sugar suite company is going to transport it sugar to market. it will cost $3125 to rent trucks, and it will cost an additional $125 for each turn of sugar transported.

The Sugar Sweet Company is going to transport its sugar to market. It will cost $2800 to rent trucks, and it will cost an additional $100 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 graph your equation.

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To solve this problem you can think of a standard form of equation for straight line:

y=mx+b, m=slope, b=y-intercept.

For given problem:

x=amt of sugar in tons=S

m=$100/ton

b=$2800 initial fixed cost

y=total cost=C

...

C=100S+2800

see graph below:

sorry, I don't have the means to draw a better graph, but at least you can see the y-intercept at $2800 and the gradual increase in total cost as the tonnage increases