1 Answer

Onoria · Answer 1 · 2021-10-15T17:46:45+0000

Answer:

(a)Initial Number of Bacteria=600

(b)
$\text{Number of bacteria after 5 days}=19200$

Explanation:

Given an initial number
b_0 of bacteria in a petri dish, and each bacteria splits into 2 bacteria after one day.

The function
$b(d) = 600 \cdot 2^d$ models the number of bacteria, b after d days.

Part A

Given
$b(d) = 600 \cdot 2^d$

When d=0,

The initial number of bacteria in the petri dish,

$b_0=b(0) = 600 \cdot 2^0=600$

Part B

After 5 days, when d=5

$b(5) = 600 \cdot 2^5=600 \cdot 32\\\text{Number of bacteria after 5 days}=19200$

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