The Sugar Sweet Company is going to transport its sugar to market. It will cost $$ \$ 7500 $$ to rent trucks, and it will cost an additional $$ \$ 125 $$ 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 19 tons of sugar. Equation: Total cost to transport 19 tons of sugar:

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UpStudy AI · Accepted Answer

1. We are given a fixed cost of $$\$7500$$ and an additional cost of $$\$125$$ per ton of sugar.
2. Let $$ S $$ represent the number of tons of sugar. Then, the total cost $$ C $$ (in dollars) can be modeled by the equation  
   $$
   C = 7500 + 125S
   $$
3. To find the total cost to transport 19 tons of sugar, substitute $$ S = 19 $$ into the equation:  
   $$
   C = 7500 + 125(19)
   $$
4. Compute $$125(19)$$:  
   $$
   125 \times 19 = 2375
   $$
5. Now, add the fixed cost:  
   $$
   C = 7500 + 2375 = 9875
   $$

Equation:  
$$
C = 7500 + 125S
$$

Total cost to transport 19 tons of sugar: $$\$9875$$
Equation: $$ C = 7500 + 125S $$ Total cost to transport 19 tons of sugar: \$9875

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