Question

Please help! Math question 30 points!

Answer 1

False

True

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

`f(x) = 50* (3)^{(x)/(8) }` .......... (1)

where, f(x) represents the population of bacteria after x hours.

So, the model equation
`f(x) = 3 (50)^{(x)/(8)}` is false. (Answer)

Again, from the equation (1) we get, after 36 hours, the bacteria population will be given by
`f(36) = 50 * (3)^{(36)/(8)} = 7014.8` ...... (2)

So, 7014.8 ≈ 7015 is the population of bacteria after 36 hours.

Hence, this statement is true. (Answer)