Subjects algebra

Electricity Usage 701E0A

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Electricity Usage 701E0A


1. **Stating the problem:** We want to estimate how much electricity the clinic should purchase for a month based on the given usage data and top-ups. 2. **Given data:** - Initial purchase: 4000 cedis on 24/11/2025 - Usage from 24/11 to 3/12 (12 days): 288.92, 266.82, 366.19, 319.82, 340.33, 317.71, 341.93, 233.69, 507.16, 271.82, 285.05, 243.17 - Top-up: 3000 cedis on 4/12/2025 - Usage from 4/12 to 15/12 (12 days): 565.38, 266.82, 366.19, 319.82, 340.03, 317.71, 341.93, 233.69 3. **Calculate total usage for each period:** - Sum usage from 24/11 to 3/12: $$288.92 + 266.82 + 366.19 + 319.82 + 340.33 + 317.71 + 341.93 + 233.69 + 507.16 + 271.82 + 285.05 + 243.17 = 3992.61$$ cedis - Sum usage from 4/12 to 15/12: $$565.38 + 266.82 + 366.19 + 319.82 + 340.03 + 317.71 + 341.93 + 233.69 = 2751.57$$ cedis 4. **Calculate average daily usage for each period:** - First period (12 days): $$\frac{3992.61}{12} = 332.72$$ cedis/day - Second period (8 days): $$\frac{2751.57}{8} = 343.95$$ cedis/day 5. **Calculate overall average daily usage:** - Total usage: $$3992.61 + 2751.57 = 6744.18$$ cedis - Total days: $$12 + 8 = 20$$ days - Average daily usage: $$\frac{6744.18}{20} = 337.21$$ cedis/day 6. **Estimate monthly usage:** - Assuming 30 days in a month: $$337.21 \times 30 = 10116.3$$ cedis 7. **Conclusion:** The clinic should purchase approximately 10116 cedis worth of electricity for a month, considering the AC and machines in the server room are always on.