Question

the number of cells in a tumor doubles every 2.5 months. if the tumor begins with a single cell, how many cells will there be after 2 years? after 4 years?

how many cells will there be after 2 years?
(do not round until the final answer. then round to the nearest whole number as needed.)

how many cells will there be after 4 years?
(do not round until the final answer. then round to the nearest whole number as needed.)

Explanation:

Formulate the exponential growth model

Using the Exponential Growth and Doubling Time knowledge points

$$ N(t) = N_0 \cdot 2^{t / T_d} $$

$$ N_0 = 1, \quad T_d = 2.5 \text{ months} $$

Calculate the number of cells after 2 years

Using the Exponential Growth and Doubling Time knowledge points

$$
LATEXBLOCK0
$$

Calculate the number of cells after 4 years

Using the Exponential Growth and Doubling Time knowledge points

$$
LATEXBLOCK1
$$

Answer:

Question 1

How may cells will there be after 2 years?
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Question 2

How many cells will there be after 4 years?
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