Electric usage over the course of a day varies. The graph shown is of electricity costs per hour. Cost per hour 20 18 16 14 12 10 8 6 IE 4 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Time(hours) What is the average cost between t = 17 and t = 20 hours? $12/hr $14/hr $16/hr $18/hr Cost $

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### Understanding Electricity Cost Over Time

Electric usage over the course of a day varies, and monitoring these fluctuations can help in managing energy costs effectively. The provided graph illustrates the variation in electricity costs per hour throughout a 24-hour period.

#### Graph Analysis

**Title:** Cost per Hour

**Y-Axis (Vertical):** Represents the Cost ($)
- Scale ranges from $0 to $20

**X-Axis (Horizontal):** Represents the Time (hours)
- Scale ranges from 1 to 24 hours (24-hour format)

**Data Points:** The graph captures how the cost of electricity changes hour by hour.

**Key Observations:**
- From hour 1 to hour 5, the cost is relatively low.
- Between hours 6 and 7, there is a noticeable spike in the cost.
- There is another surge in costs between hours 10 and 14.
- A significant increase is noted between hours 17 and 20, where the costs peak.

#### Question

**Problem:** What is the average cost between t = 17 and t = 20 hours?

- $12/hr
- $14/hr
- $16/hr
- $18/hr

**Solution Steps:**
1. Identify the costs at each hour from t = 17 to t = 20.
2. Calculate the average of these costs.

**Calculation:**
- Cost at hour 17 = $18
- Cost at hour 18 = $18
- Cost at hour 19 = $16
- Cost at hour 20 = $14

Average Cost = (18 + 18 + 16 + 14) / 4
              = 66 / 4
              = $16.50/hr

**Choose the closest answer:** Since $16.50/hr is closest to $16/hr, the correct answer is **$16/hr**.

##### Note:
Remember the practical applications of this information—such cost analysis helps in optimizing power usage to save on electricity bills, especially in industrial settings where power consumption can be significant.
Transcribed Image Text:### Understanding Electricity Cost Over Time Electric usage over the course of a day varies, and monitoring these fluctuations can help in managing energy costs effectively. The provided graph illustrates the variation in electricity costs per hour throughout a 24-hour period. #### Graph Analysis **Title:** Cost per Hour **Y-Axis (Vertical):** Represents the Cost ($) - Scale ranges from $0 to $20 **X-Axis (Horizontal):** Represents the Time (hours) - Scale ranges from 1 to 24 hours (24-hour format) **Data Points:** The graph captures how the cost of electricity changes hour by hour. **Key Observations:** - From hour 1 to hour 5, the cost is relatively low. - Between hours 6 and 7, there is a noticeable spike in the cost. - There is another surge in costs between hours 10 and 14. - A significant increase is noted between hours 17 and 20, where the costs peak. #### Question **Problem:** What is the average cost between t = 17 and t = 20 hours? - $12/hr - $14/hr - $16/hr - $18/hr **Solution Steps:** 1. Identify the costs at each hour from t = 17 to t = 20. 2. Calculate the average of these costs. **Calculation:** - Cost at hour 17 = $18 - Cost at hour 18 = $18 - Cost at hour 19 = $16 - Cost at hour 20 = $14 Average Cost = (18 + 18 + 16 + 14) / 4 = 66 / 4 = $16.50/hr **Choose the closest answer:** Since $16.50/hr is closest to $16/hr, the correct answer is **$16/hr**. ##### Note: Remember the practical applications of this information—such cost analysis helps in optimizing power usage to save on electricity bills, especially in industrial settings where power consumption can be significant.
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