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
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)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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, \( x \).
\[ y = \_\_\_ x + \_\_\_ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe7c0e7b-edb9-4127-a466-87c637dafffa%2F1c4d2e63-e220-4eaa-8e7a-dc10e7f07b53%2F9xac9op_processed.png&w=3840&q=75)
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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