Acrop initially has n₀ bacterias. after 1 hour the crop has reached ( 3/2 ) n₀ bacterias. if the rapid growth in that crop is proportional to the number bacteria present at the time t, determine the time required for the number of bacterias grouper are tripled.

2.71 hours are required for the number of bacterias grouper are tripled.

Step-by-step explanation:

The number of bacterias can be given by the following exponential function:

In which is the number of bacterias at the time instant t, is the initial number of bacterias and r is the rate for which they grow.

After 1 hour the crop has reached ( 3/2 ) N₀ Bacterias.

This means that . With this information, we can find r.

To find r, we apply ln to both sides

Determine the time required for the number of bacterias grouper are tripled.

This is t when

Again, we apply ln to both sides

2.71 hours are required for the number of bacterias grouper are tripled.

i think da answer is

d.square root of 3