Compare two functions given as a table, graph, equation or story

Answer Key - Grade 9 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. Read this first

   B: Table

   input w	output B
   0	15
   1	16
   2	17

2. 1.

   Luz compares two savings jars. A starts at $3 and gains $4 each week. B is in the table. In which week does A first have more than B?

   5
3. 2.

   Milo compares two plants (cm after w weeks). A is 4 + 6w. B is in the table. In which week does A first have more than B?

   4
4. 3.

   Noah compares two snail trails (cm after w minutes). A is 1 + 3w. B is the graph. In which minute does A first pass B?

   7
5. 4.

   Ren compares two plants. A is the graph. B is y = 2x + 9. Which statement is true?

   • B grows faster and starts higher
   • B grows faster; A starts higher
   • A grows faster; B starts higher

6. B: Table

   input x	output y
   0	3
   2	9
   4	15

7. 5.

   Tala compares two bouncing balls. A is "starts at 14 and grows 2 each second". B is the table. Which statement is true?

   • A grows faster; B starts higher
   • B grows faster; A starts higher
   • A grows faster and starts higher
8. 6.

   Zee compares two bike rides. A is y = 5x + 1. B is the graph. Which statement is true?

   • A grows faster; B starts higher
   • B grows faster; A starts higher
   • B grows faster and starts higher

9. B: Table

   input w	output B
   0	4
   2	12
   4	20

10. 7.

    Bo compares two plants. A gains 18 cm every 3 weeks. B is in the table (cm after w weeks). What is A's rate per week minus B's rate per week?

    2
11. 8.

    Esme compares two savings jars. A saves $20 every 4 weeks. B is in the table (dollars after w weeks). What is A's rate per week minus B's rate per week?

    1
12. 9.

    Jun compares two hikes. A walks 15 km every 5 days. B is the graph (km after d days). What is A's rate per day minus B's rate per day?

    -1

13. B: Table

    input m	output B
    0	4
    3	19
    6	34

14. 10.

    Kira compares two buckets. A fills 40 liters every 5 minutes. B is in the table (liters after m minutes). What is A's rate per minute minus B's rate per minute?

    3