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The Sugar Sweet Company is going to transport its sugar to market. It will cost $4375 to rent trucks, and 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.

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Answer:

Linear equation:

  • y = mx + b

Given:

  • The rental is the y-intercept, b = 4375
  • The cost for each ton of sugar is the slope, m = 175
  • The total is C, number of tons of sugar represented as S

The equation for this case is:

  • C = 175S + 4375

The graph is attached below.

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