A certain culture of the bacterium Rhodobacter sphaeroides initially has 45 bacteria and is observed to double every 5 hours. (a) Find an exponential model n(t)

The exponential model n(t) is

Step-by-step explanation:

Exponential model of population growth:

An exponential model for population growth has the following model:

In which n(0) is the initial value and r is the growth rate, as a decimal.

Observed to double every 5 hours.

This means that

We use this to find 1 + r. So

So

Initially has 45 bacteria

This means that . So

The exponential model n(t) is

i suppose it should be (y=2x-5)

step-by-step explanation:

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: