Linear, quadratic or exponential? And which grows faster in the end?

Answer Key - Grade 9 Math Worksheet - Challenge Me

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

1. Read this first

   Growth table

   x	y
   0	3
   1	5
   2	9
   3	15

2. 1.

   Kira's cookie-tray pattern follows one rule: linear, quadratic or exponential. The table shows x = 0 to 3. What is y at x = 4?

   23
3. 2.

   Luz's sprout count follows one rule: linear, quadratic or exponential. The table shows x = 0 to 3. What is y at x = 4?

   162
4. 3.

   Milo's block tower pattern follows one rule: linear, quadratic or exponential. The table shows x = 0 to 3. What is y at x = 4?

   34
5. 4.

   Noah's sticker-star count follows one rule: linear, quadratic or exponential. The table shows x = 0 to 3. What is y at x = 4?

   324
6. 5.

   Zee's robot-step rules: A is y = 4x² + 30, B is y = 3^x. Checking x = 0, 1, 2 and up, what is the first x where B is bigger?

   5
7. 6.

   Ari's piano-practice rules: A is y = x² + 2x + 16, B is y = 2^x. Checking x = 0, 1, 2 and up, what is the first x where B is bigger?

   7
8. 7.

   Bo's toy-train rules: A is y = 2x² + 49, B is y = 3^x. Checking x = 0, 1, 2 and up, what is the first x where B is bigger?

   5

9. Growth table

   x	y
   0	2
   1	5
   3	11
   4	14
   6	20

10. 8.

    Esme logs a hike, skipping some hours. Look at how x changes. Is the table linear, quadratic or exponential?

    • Exponential: the same factor for each 1 step of x
    • Linear: the same change for each 1 step of x
    • None of these: the gaps are not equal
    • Quadratic: the gaps change by the same amount
11. 9.

    Jun logs a science-video cell count, skipping hour 3. Look at how x changes. Is the table linear, quadratic or exponential?

    • Exponential: the same factor for each 1 step of x
    • None of these: the gaps are not equal
    • Quadratic: the gaps change by the same amount each time
    • Linear: the same change for each 1 step of x
12. 10.

    Kira logs a rain bucket's depth on some days. Look at how x changes. Is the table linear, quadratic or exponential?

    • Quadratic: the gaps change by the same amount
    • None of these: the gaps are not equal
    • Linear: the same change for each 1 step of x
    • Exponential: the same factor for each 1 step of x