Answer:
False
True
Step-by-step explanation:
Initially, there were 50 bacteria. It is observed that the bacteria triple in population every 8 hours.
Therefore, the situation can be interpreted as
[tex]f(x) = 50\times (3)^{\frac{x}{8} }[/tex] .......... (1)
where, f(x) represents the population of bacteria after x hours.
So, the model equation [tex]f(x) = 3 (50)^{\frac{x}{8}}[/tex] is false. (Answer)
Again, from the equation (1) we get, after 36 hours, the bacteria population will be given by [tex]f(36) = 50 \times (3)^{\frac{36}{8}} = 7014.8[/tex] ...... (2)
So, 7014.8 ≈ 7015 is the population of bacteria after 36 hours.
Hence, this statement is true. (Answer)
