Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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## Homework #6: ### 1. **Give the slope and y-intercept of each line whose equation is given. Then graph the equation.** a. \( y = 2x + 1 \) b. \( y = 3x - 1 \) c. \( y = -2x + 1 \) d. \( y = -\frac{5}{2}x + 6 \) e. \( y = x \) ### 2. **Find the slope of the line \( Ax + By = C \).** ### 3. **Rewrite the given equation in slope-intercept form by solving for \( y \). Give the slope and y-intercept.** a. \( 5x + 3y = 15 \) b. \( 2x - 4y = 8 \) ### 4. **If one point on a line is \( (3, -1) \) and the line’s slope is \(-2\), find the y-intercept.** ### 5. **In the following a linear equation that models data is given. Find the slope for each model. Interpret the slope in the context given, writing a sentence in plain English.** a. The equation \( y = 2.35x + 2 \) models the amount of money a taxi out of Dulles Airport charges a traveler with one suitcase for \( x \) miles traveled. b. The equation \( y = 54.9x + 61.2 \) models the number of cellphones sold in the United States, in millions, \( x \) years after 2006. c. The equation \( p = 40t - 800 \) describes the profit a copy service makes in dollars, for \( t \) hours of copying. ### 6. **A deep-sea diver is taking some readings at a depth of 400 feet. He begins rising at 20 feet per minute.** a. Write an equation that expresses the diver’s altitude, \( h \), in terms of the number of minutes, \( m \), elapsed. (Consider a depth of 400 feet as an altitude of -400 feet.) b. Find the \( h \)-intercept and interpret it, writing a sentence in plain English. c. Find the \( m \)-intercept and interpret it
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Transcribed Image Text:## Homework #6: ### 1. **Give the slope and y-intercept of each line whose equation is given. Then graph the equation.** a. \( y = 2x + 1 \) b. \( y = 3x - 1 \) c. \( y = -2x + 1 \) d. \( y = -\frac{5}{2}x + 6 \) e. \( y = x \) ### 2. **Find the slope of the line \( Ax + By = C \).** ### 3. **Rewrite the given equation in slope-intercept form by solving for \( y \). Give the slope and y-intercept.** a. \( 5x + 3y = 15 \) b. \( 2x - 4y = 8 \) ### 4. **If one point on a line is \( (3, -1) \) and the line’s slope is \(-2\), find the y-intercept.** ### 5. **In the following a linear equation that models data is given. Find the slope for each model. Interpret the slope in the context given, writing a sentence in plain English.** a. The equation \( y = 2.35x + 2 \) models the amount of money a taxi out of Dulles Airport charges a traveler with one suitcase for \( x \) miles traveled. b. The equation \( y = 54.9x + 61.2 \) models the number of cellphones sold in the United States, in millions, \( x \) years after 2006. c. The equation \( p = 40t - 800 \) describes the profit a copy service makes in dollars, for \( t \) hours of copying. ### 6. **A deep-sea diver is taking some readings at a depth of 400 feet. He begins rising at 20 feet per minute.** a. Write an equation that expresses the diver’s altitude, \( h \), in terms of the number of minutes, \( m \), elapsed. (Consider a depth of 400 feet as an altitude of -400 feet.) b. Find the \( h \)-intercept and interpret it, writing a sentence in plain English. c. Find the \( m \)-intercept and interpret it
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