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TASK 3 You and your friend are having trouble using the different methods for finding the equation of a line. With the help of the graph at the right, provide a detailed step-by-step procedure that demonstrates how each method works. -4- a. Using slope and y-intercept 1, Y2-Y. 2. (2,0) (0,3) X2-X, 3.30 2.3-0 0+2 b. Using slope and a point %3D %3D DY =m(x-x,) OY-0=1lz(x +2) c. Using two points (2,0) (0,3) d. Using x- and y-intercepts e. Write the equation of the line at right in the form Ax + By = C. 2x+3y =6

TASK 3 You and your friend are having trouble using the different methods for finding the equation of a line. With the help of the graph at the right, provide a detailed step-by-step procedure that demonstrates how each method works. -4- a. Using slope and y-intercept 1, Y2-Y. 2. (2,0) (0,3) X2-X, 3.30 2.3-0 0+2 b. Using slope and a point %3D %3D DY =m(x-x,) OY-0=1lz(x +2) c. Using two points (2,0) (0,3) d. Using x- and y-intercepts e. Write the equation of the line at right in the form Ax + By = C. 2x+3y =6

Algebra and Trigonometry (6th Edition)
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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Name Class Date Performance Tasks (continued) Chapter 5 TASK 3 You and your friend are having trouble using the different methods for finding the equation of a line. With the help of the graph at the right, provide a detailed step-by-step procedure that demonstrates how each method works. a. Using slope and y-intercept 1. Y2-Y. 22,0) (0,3) -2- X2-X, 3.30 2.3-0 O+2 b. Using slope and a point ©Y-0=1z(x+2) c. Using two points (2,0) (0,3) d. Using x- and y-intercepts e. Write the equation of the line at right in the form Ax + By = C. 2x+3y =6 f. Think of a real-world situation that can be modeled using the equation you wrote in part (e). On the 2nd day of the carnival, Johnny got
Transcribed Image Text:Name Class Date Performance Tasks (continued) Chapter 5 TASK 3 You and your friend are having trouble using the different methods for finding the equation of a line. With the help of the graph at the right, provide a detailed step-by-step procedure that demonstrates how each method works. a. Using slope and y-intercept 1. Y2-Y. 22,0) (0,3) -2- X2-X, 3.30 2.3-0 O+2 b. Using slope and a point ©Y-0=1z(x+2) c. Using two points (2,0) (0,3) d. Using x- and y-intercepts e. Write the equation of the line at right in the form Ax + By = C. 2x+3y =6 f. Think of a real-world situation that can be modeled using the equation you wrote in part (e). On the 2nd day of the carnival, Johnny got
Rhyana Shehan Name Class" Date 3-21 Performance Tasks Chapter 5 TASK 1 Suppose you are the diving officer on board a submarine conducting diving operations. As you conduct your operations, you realize that you can relate the submarine's changes in depth over time to the slope of a line. a. For each situation below, graph the relationship between depth and time. positive slope 245 negative slope slope equal to zero undefined slope 30 Fime ISO Time b. For each situation in part (a), calculate the slope on the basis of your graph. Show your work. Depth (feet) Time (seconds) PS- c. What would the graph representing a submarine descending from the surface at a rate of 10.5 ft/s look like? 245 30 200 60 155 90 100 d. Use a graphing calculator to find the equation of the line of best fit for the data at right. 120 51 150 TASK 2 Computer repair companies use a fixed cost equation to determine how much to charge for an in-house repair. For example, a technician charges $85 for a house call and $45 per hour. The fixed cost equation is y = 85 + 45x. a. How are the slope and y-intercept of the graph related to the equation? b. What is the rate of change in the equation? How is the rate of change related to the slope of the line represented by the equation? Explain. The rate of chonge is 45 and y.Because everytime 45 changes from the quantity of x, Phe valve of y changes Prentice Hall Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiljates OUDII
Transcribed Image Text:Rhyana Shehan Name Class" Date 3-21 Performance Tasks Chapter 5 TASK 1 Suppose you are the diving officer on board a submarine conducting diving operations. As you conduct your operations, you realize that you can relate the submarine's changes in depth over time to the slope of a line. a. For each situation below, graph the relationship between depth and time. positive slope 245 negative slope slope equal to zero undefined slope 30 Fime ISO Time b. For each situation in part (a), calculate the slope on the basis of your graph. Show your work. Depth (feet) Time (seconds) PS- c. What would the graph representing a submarine descending from the surface at a rate of 10.5 ft/s look like? 245 30 200 60 155 90 100 d. Use a graphing calculator to find the equation of the line of best fit for the data at right. 120 51 150 TASK 2 Computer repair companies use a fixed cost equation to determine how much to charge for an in-house repair. For example, a technician charges $85 for a house call and $45 per hour. The fixed cost equation is y = 85 + 45x. a. How are the slope and y-intercept of the graph related to the equation? b. What is the rate of change in the equation? How is the rate of change related to the slope of the line represented by the equation? Explain. The rate of chonge is 45 and y.Because everytime 45 changes from the quantity of x, Phe valve of y changes Prentice Hall Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiljates OUDII
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