The Sugar Sweet Company is going to transport its sugar to market. It will cost $4500 to rent trucks, and it will cost an additional $225 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 18 tons of sugar.
The equation relating C to S can be written as:
C = 4500 + 225S
To find the total cost to transport 18 tons of sugar, we plug in S = 18 into the equation:
C = 4500 + 225(18)
C = 4500 + 4050
C = 8550
Therefore, the total cost to transport 18 tons of sugar is $8550.
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To write an equation relating the total cost C to the amount of sugar S, we first consider the fixed cost, which is the cost of renting trucks. This cost is $4500.
Then, for each ton of sugar transported, there is an additional cost of $225. So, we can multiply the number of tons of sugar (S) by $225.
Therefore, the equation relating C to S is:
C = 4500 + 225S
To find the total cost to transport 18 tons of sugar, we substitute S = 18 into the equation:
C = 4500 + 225(18)
C = 4500 + 4050
C = 8550
Therefore, the total cost to transport 18 tons of sugar is $8550.