Problem

Biological Science—Bacterial Growth: Under certain conditions, the spread of the E. coli s...

Biological Science—Bacterial Growth: Under certain conditions, the spread of the E. coli strain of bacteria can be modeled by

f(t) = N0e0.23tt ≥ 0

where t represents the time in minutes and f(t) represents the size of the culture after time t. If the size of the culture begins at N0 = 1,200,000, answer the following.

(a) Evaluate f(5) and interpret.


(b) Determine the slope of the secant line for t = 0 and Δt = 10 and interpret.

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