A bacterial culture starts with cells

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

A bacterial culture starts with 200200 cells. For the first 22 hours the population grows exponentially with constant rate k1=0.4k_1=0.4 (per hour). Immediately afterward, a nutrient change reduces the growth rate to a new constant k2=0.1k_2=0.1 (per hour). What is the closest integer value of the population after a total of 66 hours? (a) 574574 cells (b) 664664 cells (c) 811811 cells (d) 445445 cells

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