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- A creeper may grow twice the earlier day in summer months. It is 15 cm on the first day of observation. Show its daily length in table to find how long will be the creeper, if you go to observe on 7th day. Is the relation between the number of days and the length of creeper linear, quadratic, or exponential? Write the pattern rule for this situation.​

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Explanation:

To find the daily length of the creeper, we can create a table:

Day | Length (cm)

-----------------

1 | 15

2 | 30

3 | 60

4 | 120

5 | 240

6 | 480

7 | 960

From the table, we observe that the length of the creeper doubles each day. This suggests an exponential relationship between the number of days and the length of the creeper.

The pattern rule for this situation can be expressed as follows:

Length of creeper = 15 × 2^(number of days - 1)

So, in the case of observing on the 7th day, we have:

Length of creeper = 15 × 2^(7 - 1) = 15 × 2^6 = 15 × 64 = 960 cm.

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