A very small tumor of initial size M is observed every ten days, and over each t
ID: 2868991 • Letter: A
Question
A very small tumor of initial size M is observed every ten days, and over each ten-day period, it has grown 70% larger.
(a) Write a formula representing the size of the tumor after t days
(t = 0, 10, 20, . . .)
S(t) =
(b) On which day will we finally observe that the tumor is more than 10 times its original size? (Assume that the observations are strictly periodically conducted as specified.)
day
(c) How many times greater than its original size will the tumor be on day 100? (Round your answer to the nearest whole number.)
times
Explanation / Answer
a. counting in periods of 10 days, X = M*1.5^t <---------
b. X/M = 10 = 1.5^t , t = log 10/log 1.5 = 5.68 periods => 60 days <--------
c. X = M*1.5^10 = 58 times <-----
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