QuestionJuly 21, 2025

The Sugar Sweet Company is going to transport its sugar to market. It will cost 3500 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. Then use this equation to find the total cost to transport 16 tons of sugar. Equation: square Total cost to transport 16 tons of sugar: Ssquare

The Sugar Sweet Company is going to transport its sugar to market. It will cost 3500 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. Then use this equation to find the total cost to transport 16 tons of sugar. Equation: square Total cost to transport 16 tons of sugar: Ssquare
The Sugar Sweet Company is going to transport its sugar to market. It will cost 3500 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. Then use this
equation to find the total cost to transport 16 tons of sugar.
Equation: square 
Total cost to transport 16 tons of sugar: Ssquare

Solution
4.2(163 votes)

Answer

Equation: C = 3500 + 175S ### Total cost to transport 16 tons of sugar: 6300 Explanation 1. Write the cost equation The total cost C is the sum of the fixed truck rental cost and the variable cost per ton. Thus, C = 3500 + 175S. 2. Calculate the total cost for 16 tons Substitute S = 16 into the equation: C = 3500 + 175 \times 16. 3. Perform the calculation Calculate 175 \times 16 = 2800. Then, C = 3500 + 2800 = 6300.

Explanation

1. Write the cost equation<br /> The total cost $C$ is the sum of the fixed truck rental cost and the variable cost per ton. Thus, $C = 3500 + 175S$.<br /><br />2. Calculate the total cost for 16 tons<br /> Substitute $S = 16$ into the equation: $C = 3500 + 175 \times 16$.<br /><br />3. Perform the calculation<br /> Calculate $175 \times 16 = 2800$. Then, $C = 3500 + 2800 = 6300$.
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