He population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours it is observed that 400 bacteria are present. After 10 hours 4000 bacteria are present. What was the initial number of bacteria

Explanation:

P(t) =

Population after 3 hours is 400

i.e., P(3) = 400

400 =                                   .................(1)

Population after 10 hours is 2000 i.e. P(5) = 2000

2000 =                               .................(2)

From eq. (1) we get

From eq. (2) we get

Compare above two equations and solve for k

By taking log on both sides, we get

- 3k =

⇒ - 3k =

⇒ - 3k =

⇒ 7k =

⇒ k = = 0.2299

Put k = 0.2299 in equation (1), we get

400 =  

⇒ 400 =  

⇒

 ≈ 201 bacteria

as the gila monster consumes the eggs or young of the desert cottontail and gambel's quail, thus its main food supply is only accessible for a restricted time duration every year. however, for this, the gila monsters exhibit three adaptations, which elevate their survival rate in the desert condition.  

first, is that they possess huge bodies, and can consume greater concentrations of food during a small period. secondly, they require to feed infrequently as they can accumulate fat in their tails. ultimately, their rate of metabolism is very low, so that they can burn their reservoirs of fat gradually.  

c should be the answer