Answer:
In 9 days, the culture would have reached 800.000
Step-by-step explanation:
The relationship is between B. the number of bacteria in the culture, and d. the elapsed time, in days, is given as:
[tex]B=50(10^{\frac{d}{2} })[/tex]
When the bacteria culture (B) = 800000, to calculate the days, we substitute in the modeled equation to get:
[tex]B=50(10^\frac{d}{2})\\ 800000 = 50(10^\frac{d}{2})\\10^\frac{d}{2}=800000/50\\10^\frac{d}{2}=16000[/tex]
taking the base-ten logarithm of both sides,
[tex]log_{10}10^\frac{d}{2} =log_{10}16000\\\frac{d}{2} =4.204\\d=4.204*2=8.408[/tex]
d ≈ 9 days
In 9 days, the culture would have reached 800.000
