A scientist determines that the number of bacteria in a culture is modeled by the formula A(t)=4,000e0.02t, where t is the numbe

Question

2 years ago

9

r of minutes after observation begins.

1 answer:

SpyIntel [72] · Answer 1 · 2023-03-02T07:54:06+03:00

Using the exponential model given, the number of bacteria in the culture after 9 minutes after the observation began will be 4789

Given the exponential model :

The number of bacteria in the culture 9 minutes after the observation began can be calculated thus :

$t = 9 \: minutes$

Substitute 9 for t in the exponential equation :

$A(t) = 4000e^{0.02\times9}$

$A(t) = 4000e^{0.18}$

$A(t) = 4000 \times 1.1972173$

$A(t) = 4788.87$

Therefore, the number of bacteria in the culture after 9 minutes will be about 4789