The population for Bacteria A can be modeled by the function f(t)=5×4^t. The population for Bacteria B can be modeled by the function g(t)=10×2^t. For both functions, t is time …

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asked Aug 22, 2023 217k views

1 Answer

Pierz · Answer 1 · 2023-08-26T09:03:08+0000

The difference in population of Bacteria A and Bacteria B after 4 days is what we are after.

Population of Bacteria A is modelled as follows

$\begin{gathered} f(t)=5*4^t \\ \text{where t = time in days} \\ f(t)=5*4^4 \\ f(t)=5*\text{ }256 \\ f(t)=1280 \end{gathered}$

Population of Bacteria B is modelled as follows

$\begin{gathered} g(t)=10*2^t \\ g(t)=10*2^4 \\ g(t)=10*16 \\ g(t)=160 \end{gathered}$

The answer is D . The population of bacteria A is 8 times greater than bacteria B.