Subjects algebra

Cost Sugar Ddde1A

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1. **State the problem:** We have the linear equation $$C = 140S + 2500$$ which represents the total cost $$C$$ as a function of the amount of sugar transported $$S$$. 2. **Understand the formula:** This is a linear function where: - $$140S$$ is the variable cost depending on the amount of sugar $$S$$. - $$2500$$ is the fixed cost independent of $$S$$. 3. **Interpretation:** For every unit increase in sugar $$S$$, the total cost $$C$$ increases by 140. 4. **Example calculation:** If you want to find the cost for $$S = 10$$ units of sugar, substitute into the formula: $$C = 140 \times 10 + 2500$$ 5. **Simplify:** $$C = 1400 + 2500$$ 6. **Final answer:** $$C = 3900$$ This means transporting 10 units of sugar costs 3900 in total.