Question 629708: 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.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! 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.
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