Solve the problem. 1) A deep sea diving bell is being lowered at a constant rate. After 10 minutes, the bell is at a depth of 300 ft. After 30 minutes the bell is at a depth of 1900 ft. Use the ordered pairs (10, 300) and (30, 1900) to determine the average rate to lower the bell per minute. Q Search hp meh

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**Solve the problem.**

1) A deep sea diving bell is being lowered at a constant rate. After 10 minutes, the bell is at a depth of 300 ft. After 30 minutes, the bell is at a depth of 1900 ft. Use the ordered pairs (10, 300) and (30, 1900) to determine the average rate to lower the bell per minute.

**Explanation:**

The problem involves calculating the average rate of descent for a deep sea diving bell using the given time and depth data points. The data points are represented as ordered pairs:

- (10, 300) represents the time in minutes and depth in feet after 10 minutes.
- (30, 1900) represents the time in minutes and depth in feet after 30 minutes.

The average rate can be calculated using the formula for the slope of a line: 

\[
\text{Slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Where:
- \(y_2\) and \(y_1\) are the depths at times \(x_2\) and \(x_1\), respectively.
- Here, \(x_1 = 10\), \(y_1 = 300\), \(x_2 = 30\), and \(y_2 = 1900\).

Substituting the given values:

\[
\text{Slope} = \frac{1900 - 300}{30 - 10} = \frac{1600}{20} = 80
\]

Thus, the average rate to lower the bell is 80 feet per minute.
Transcribed Image Text:**Solve the problem.** 1) A deep sea diving bell is being lowered at a constant rate. After 10 minutes, the bell is at a depth of 300 ft. After 30 minutes, the bell is at a depth of 1900 ft. Use the ordered pairs (10, 300) and (30, 1900) to determine the average rate to lower the bell per minute. **Explanation:** The problem involves calculating the average rate of descent for a deep sea diving bell using the given time and depth data points. The data points are represented as ordered pairs: - (10, 300) represents the time in minutes and depth in feet after 10 minutes. - (30, 1900) represents the time in minutes and depth in feet after 30 minutes. The average rate can be calculated using the formula for the slope of a line: \[ \text{Slope} = \frac{y_2 - y_1}{x_2 - x_1} \] Where: - \(y_2\) and \(y_1\) are the depths at times \(x_2\) and \(x_1\), respectively. - Here, \(x_1 = 10\), \(y_1 = 300\), \(x_2 = 30\), and \(y_2 = 1900\). Substituting the given values: \[ \text{Slope} = \frac{1900 - 300}{30 - 10} = \frac{1600}{20} = 80 \] Thus, the average rate to lower the bell is 80 feet per minute.
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