Question

A very small tumor of initial size M is observed every ten days, and over each ten-day period, it has grown 60% larger. Write a formula representing the size of the tumor after t days (t=0,10,20...)

Answer 1

Given :  A very small tumor of initial size M is observed every ten days, and over each ten-day period,  it has grown 60% larger.

To Find :  Write a formula representing the size of the tumor after t days (t= 0, 10, 20 ...)

Solution:

Initial size  =  M

at  0   Day  = M

after 10 days  = M + (60/100) M  = 1.6M          

after 20 days =  1.6M + (60/100)1.6M  = 1.6²M           ( 2 = 20/10)

after 30 days =  1.6²M + (60/100)1.6²M  = 1.6³M        ( 3 = 30/10)

after 10n days =  1.6ⁿM        ( 3 = 30/10)

Formula  =    M * 1.6 ^(t/10)

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