During a certain period in life of an earthworm it's length L cm is directly proportional to the squareroot of N where N is the number of hours after its birth one hour after an earthworm is born it's length is 2.5 cm. Find equation connecting London and N

Step-by-step explanation:

Given, during a certain period in life of an earthworm it's length L cm is directly proportional to the squareroot of N

Let L be the length of the earthworm,

N be the number of hours after its birth one hour after an earthworm is born  

The equation conecting L and N is,

L = k√N  where k is a constant whose value we can find using the given information:

When N = 1, L = 2.5

2.5 = k√1

k = 2.5

Therefore L = 2.5 √N