Write an exponential function from a table, graph or story

Answer Key - Grade 9 Math Worksheet - Building Confidence

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

1. Read this first

   Growth table

   x	y
   0	6
   1	24
   2	96
   3	384

2. 1.

   Pia's class counts seedlings in a big tray. Every arrow in the growth table multiplies by the same factor. What is the factor?

   4
3. 2.

   Ren's star-sticker pattern grows each round. Every arrow in the growth table multiplies by the same factor. What is the factor?

   5
4. 3.

   Zee's block tower pattern grows each stage. Every arrow in the growth table multiplies by the same factor. What is the factor?

   6
5. 4.

   1 | 15; 2 | 45; 3 | 135; 4 | 405. Every arrow down the table: × 3. Ari's robot game table starts at x = 1. Every arrow is × 3. What is the starting amount, the value at x = 0?

   5
6. 5.

   1 | 30; 2 | 150; 3 | 750; 4 | 3750. Every arrow down the table: × 5. Esme's flower-pattern table starts at x = 1. Every arrow is × 5. What is the starting amount, the value at x = 0?

   6
7. 6.

   1 | 36; 2 | 144; 3 | 576; 4 | 2304. Every arrow down the table: × 4. Jun's drum-beat table starts at x = 1. Every arrow is × 4. What is the starting amount, the value at x = 0?

   9
8. 7.

   0 | 4; 1 | 24; 2 | 144; 3 | 864. Every arrow down the table: × 6. Kira's bee-pattern drawing starts at 4 (row x = 0), and every arrow is × 6. What function fits the table? Start with y =.

   y = 4(6)^x
9. 8.

   0 | 5; 1 | 10; 2 | 20; 3 | 40. Every arrow down the table: × 2. Luz's pencil-pattern table starts at 5 (row x = 0), and every arrow is × 2. What function fits the table? Start with y =.

   y = 5(2)^x
10. 9.

    0 | 2; 1 | 14; 2 | 98; 3 | 686. Every arrow down the table: × 7. Milo's leaf-pattern table starts at 2 (row x = 0), and every arrow is × 7. What function fits the table? Start with y =.

    y = 2(7)^x
11. 10.

    0 | 8; 1 | 40; 2 | 200; 3 | 1000. Every arrow down the table: × 5. Noah's tree-branch table starts at 8 (row x = 0), and every arrow is × 5. What function fits the table? Start with y =.

    y = 8(5)^x