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26 September, 11:22

Which table represents exponential growth? A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 8. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 8, 16. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 7, 11. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 10.

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  1. 26 September, 14:28
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    Table 2

    Step-by-step explanation:

    We have the tables:

    Table 1:

    x: 1 2 3 4

    y: 2 4 6 8

    Table 2:

    x: 1 2 3 4

    y: 2 4 8 16

    Table 3:

    x: 1 2 3 4

    y: 2 4 7 11

    Table 4:

    x: 1 2 3 4

    y: 2 4 6 10

    An exponential growth data set will show a common ratio between y values. Let's look at each of the ratios from each table.

    Table 1:

    8/6 = 4/3

    6/4 = 3/2

    Already, we can see that 4/3 ≠ 3/2, which means that this doesn't have a common ratio. So Table 1 is wrong.

    Table 2:

    16/8 = 2

    8/4 = 2

    4/2 = 2

    The common ratio here is 2, so we know this is correct.

    Table 3:

    11/7 = 1.57

    7/4 = 1.75

    Again, we can see that 1/57 ≠ 1.75, so this is wrong.

    Table 4:

    10/6 = 1.67

    6/4 = 1.5

    Again, there is no common ratio here, so this is wrong.

    The answer is thus Table 2.
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