Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Name Class Date Practice 4-2 Form G Patterns and Linear Functions For each diagram, find the relationship between the number of shapes and the perimeter of the figure they form. Represent this relationship using a table, words, an equation, and a graph. 1 1 1 1 1 1 1 1 1 1 3 triangles 1 1 1 triangle 2 triangles 1 1 1 1 The perimeter is 2 more than the number of triangles; p 5 n 1 2 1 1 4 triangles Triangles 1 2 3 4 5 6 10 n Perimeter 3 4 5 6 7 8 12 n à2 Perimeter, p 1. 10 9 8 7 6 5 4 3 2 1 O 1 2 3 4 5 6 7 8 9 10 Number of triangles, n 1 The perimeter is 2 more than twice the number of squares; p 5 2n 1 2 1 1 square 2 squares 3 squares Squares 1 2 3 4 5 6 10 n Perimeter 4 6 8 10 12 14 22 2n à2 Perimeter, p 2. 10 9 8 7 6 5 4 3 2 1 O 1 2 3 4 5 6 7 8 9 10 Number of Squares, n For each table, determine whether the relationship is a function. Then represent the relationship using words, an equation, and a graph. 3. x y 0 1 1 3 2 5 3 7 10 9 8 7 6 5 4 3 2 1 O 4. y x 1 2 3 4 5 6 7 8 9 10 yes; the output y is 1 more than twice the input x; y 5 2x 1 1 x y 0 6 1 7 2 8 3 9 yes; the output y is 6 more than the input x; y 5 x 1 6 Prentice Hall Gold Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 13 10 9 8 7 6 5 4 3 2 1 O y x 1 2 3 4 5 6 7 8 9 10 Name Class Date Practice (continued) 4-2 Form G Patterns and Linear Functions For each table, determine whether the relationship is a function. Then represent the relationship using words, an equation, and a graph. 5. 6. Distance Traveled Time (h) 0 0 1 55 2 3 function; the distance traveled is 55 times the number of hours; d 5 55t Minutes (min) 0 10 50 110 20 100 165 30 150 d 200 100 t 1 2 3 4 150 c 100 50 m O Time (h) 10 20 30 (3, 8). Determine whether the relationship is a linear function. Explain how you know. The function is linear; the points on the graph can be connected by a straight line. 8 7 6 5 4 3 2 1 y x 8. You can make a bubble solution by mixing 1 cup of liquid soap with 4 cups of water. Represent the relationship between the cups of liquid soap and the cups of bubble solution made using a table, an equation, and a graph. Is the amount of bubble solution made a function of the amount of liquid soap used? Explain. b 5 5s; 0 0 1 5 2 10 3 15 4 20 Cups of bubble solution O Cups of bubble solution, b 40 Minutes spent exercising 7. Reasoning Graph the set of ordered pairs (0, 2), (1, 4), (2, 6), Cups of soap, S function; the calories burned are 5 times the number of minutes spent exercising; c 5 5m Calories (C) 0 Calories burned 300 Distance (mi) Distance (mi) Calories Burned 20 1 2 3 4 5 6 7 8 b 15 10 5 s O 1 2 3 Cups of soap Prentice Hall Gold Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 14 4