Compare two functions given as a table, graph, equation or story
Grade 9 Math Worksheet

Circle the best answer, or write your answer on the line.
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A: Table
input x: minutes output y: cm 0 14 10 24 20 34 Luz compares two plants. B starts at 5 cm and grows 4 cm every 2 minutes. A is in the table. Which grows faster?
- A grows faster: 10 cm a row, and B only 4
- A grows faster: it starts at 14, and B at 5
- B grows faster: 2 cm a minute, and A only 1
Milo compares two kites. B is y = 2x + 12, with x in minutes. A is the graph. Which grows faster?
- B grows faster: it starts at 12, and A at 6
- They grow at the same rate
- A grows faster: 3 a minute, and B only 2
Noah compares two bike rides. A is in the table and B is the graph. Which grows faster?
A: Table (input x: hours | output y: km): 2 | 10; 4 | 18; 6 | 26. Graph on a grid (each square is one unit): B has dots at (0, 5), (3, 14). A: Table (input x: hours | output y: km): 2 | 10; 4 | 18; 6 | 26. Graph on a grid (each square is one unit): B has dots at (0, 5), (3, 14). A input x: hours output y: km 2 10 4 18 6 26 B 0 1 2 3 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 - B grows faster: it starts at 5, and A at 2
- A grows faster: 4 km an hour, and B only 3
- B grows faster: its dots jump 9, and A only 8
A: Table
input x: minutes output y: blocks 0 8 5 13 10 18 Pia compares two robots. B starts at 3 blocks and builds 4 blocks every 2 minutes. A is in the table. Which builds faster?
- A builds faster: it starts at 8, and B at 3
- A builds faster: 5 blocks a row, and B only 4
- B builds faster: 2 blocks a minute, and A only 1
Ren compares two rockets. A is the graph and B is the table (heights in meters). How much greater is B's highest height than A's?
Graph on a grid (each square is one unit): A has dots at (0, 2), (2, 8), (4, 12), (6, 9), (8, 3), joined by line segments. B: Table (input x | output height): 0 | 1; 2 | 7; 4 | 14; 6 | 10; 8 | 2. Graph on a grid (each square is one unit): A has dots at (0, 2), (2, 8), (4, 12), (6, 9), (8, 3), joined by line segments. B: Table (input x | output height): 0 | 1; 2 | 7; 4 | 14; 6 | 10; 8 | 2. A 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 B input x output height 0 1 2 7 4 14 6 10 8 2 Tala compares two thrown balls. A is the graph and B is the table (heights in feet). How much greater is B's highest height than A's?
Graph on a grid (each square is one unit): A has dots at (1, 3), (3, 9), (5, 15), (7, 10), (9, 4), joined by line segments. B: Table (input x | output height): 1 | 2; 3 | 8; 5 | 13; 7 | 18; 9 | 11. Graph on a grid (each square is one unit): A has dots at (1, 3), (3, 9), (5, 15), (7, 10), (9, 4), joined by line segments. B: Table (input x | output height): 1 | 2; 3 | 8; 5 | 13; 7 | 18; 9 | 11. A 0 2 4 6 8 10 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 B input x output height 1 2 3 8 5 13 7 18 9 11 Zee compares two kites. A is the graph and B is the table (heights in meters). How much greater is A's highest height than B's?
Graph on a grid (each square is one unit): A has dots at (0, 5), (3, 13), (6, 20), (9, 12), joined by line segments. B: Table (input x | output height): 0 | 4; 3 | 12; 6 | 15; 9 | 6. Graph on a grid (each square is one unit): A has dots at (0, 5), (3, 13), (6, 20), (9, 12), joined by line segments. B: Table (input x | output height): 0 | 4; 3 | 12; 6 | 15; 9 | 6. A 0 2 4 6 8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 B input x output height 0 4 3 12 6 15 9 6 Bo compares two snack carts. A is y = 3x − 12. B is the graph. What is B's x-intercept minus A's x-intercept?
Graph on a grid (each square is one unit): B has dots at (0, −5), (2, −3), (5, 0), (8, 3), joined by a line. Graph on a grid (each square is one unit): B has dots at (0, −5), (2, −3), (5, 0), (8, 3), joined by a line. −1 1 2 3 4 5 6 7 8 9 −6 −5 −4 −3 −2 −1 1 2 3 4 0 B B: Table
input x output y −8 0 −4 4 0 8 4 12 Esme compares two lamps. A is y = 2x + 10. B is the table. What is A's x-intercept minus B's x-intercept?
Kira compares two tents. A is y = 5x + 10. B is the graph. What is B's x-intercept minus A's x-intercept?
Graph on a grid (each square is one unit): B has dots at (−3, 0), (0, 3), (3, 6), joined by a line. Graph on a grid (each square is one unit): B has dots at (−3, 0), (0, 3), (3, 6), joined by a line. −5 −4 −3 −2 −1 1 2 3 4 5 −2 −1 1 2 3 4 5 6 7 8 0 B