Meteorologists often measure the intensity of a tropical storm or hurricane by the maximum sustained wind speed and the minimum pressure. The relationship between these two quantities is approximately linear. Hurricane A had a maximum sustained wind speed of 154 knots and a minimum O pressure of 797 mb (millibars). Hurricane B had maximum sustained winds of 69 knots and a pressure of 706 mb. Pressure vs. Wind Speed 1200- 000- (154 797) 800- 600 (69, 706 400- 200 20 40 60 80 Iốo 120 140 lốo Wind Speed (knots) Part 1 of 3 (a) Find the slope of the line between these two points. Round to one decimal place. Part: 1/3 Part 2 of 3 (b) Using the slope found in part (a) and the point (69, 706), find a linear model that represents the minimum pressure of a hurricane, y, versus its maximum sustained wind speed, x. 回国 C ew

Algebra and Trigonometry (6th Edition)
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**Meteorologists often measure the intensity of a tropical storm or hurricane by the maximum sustained wind speed and the minimum pressure. The relationship between these two quantities is approximately linear.**

- **Hurricane A** had a maximum sustained wind speed of 154 knots and a minimum pressure of 797 mb (millibars).
- **Hurricane B** had maximum sustained winds of 69 knots and a pressure of 706 mb.

**Graph: Pressure vs. Wind Speed**

The graph presents a visual representation of the relationship between wind speed (in knots) and pressure (in mb) for two hurricanes. The x-axis represents the wind speed, ranging from 0 to 160 knots, and the y-axis represents pressure, ranging from 0 to 1200 mb. Two data points are plotted:

- (69, 706) representing Hurricane B
- (154, 797) representing Hurricane A

A line passes through these points, indicating the linear nature of the relationship.

**Part 1 of 3**

(a) Find the slope of the line between these two points. Round to one decimal place.

\[ m = 1.1 \] (Correct answer)

**Part 2 of 3**

(b) Using the slope found in part (a) and the point (69, 706), find a linear model that represents the minimum pressure of a hurricane, \( y \), versus its maximum sustained wind speed, \( x \).

\[ y = \_\_\_ x + \_\_\_ \]
Transcribed Image Text:**Meteorologists often measure the intensity of a tropical storm or hurricane by the maximum sustained wind speed and the minimum pressure. The relationship between these two quantities is approximately linear.** - **Hurricane A** had a maximum sustained wind speed of 154 knots and a minimum pressure of 797 mb (millibars). - **Hurricane B** had maximum sustained winds of 69 knots and a pressure of 706 mb. **Graph: Pressure vs. Wind Speed** The graph presents a visual representation of the relationship between wind speed (in knots) and pressure (in mb) for two hurricanes. The x-axis represents the wind speed, ranging from 0 to 160 knots, and the y-axis represents pressure, ranging from 0 to 1200 mb. Two data points are plotted: - (69, 706) representing Hurricane B - (154, 797) representing Hurricane A A line passes through these points, indicating the linear nature of the relationship. **Part 1 of 3** (a) Find the slope of the line between these two points. Round to one decimal place. \[ m = 1.1 \] (Correct answer) **Part 2 of 3** (b) Using the slope found in part (a) and the point (69, 706), find a linear model that represents the minimum pressure of a hurricane, \( y \), versus its maximum sustained wind speed, \( x \). \[ y = \_\_\_ x + \_\_\_ \]
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