Question

during a certain period in the life of an earthworm, it's length,L cm is directly proportional to the square root of N, N is the number of hours after it's birth. one hour after an earthworm is Born, it's length is 2.5 cm.
(1) find an equation connecting L and N.
(2) find the length of an earthworm 4 hours after it's birth.
(3) how long will it take for an earthworm to grow to a length of 15 cm.​

Answer 1

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

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Answer 2

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