Question

Grace placed 3 strands bacteria in a petri dish. The bacteria strands triple every hour. Write a formula to

Answer 1

Answer:

a) The growth of bacteria at nth hour is : $3^{n}$

b) At the end of the fourth hour, there are 81 stands of the bacteria    

    present.

Step-by-step explanation:

The number of initial bacteria in the dish = 3 strands

Rate at which bacteria multiply = 3 times every hour

So, the general form which represents the growth

As it multiplies three times every hour, so at nth hour:

The growth of bacteria at nth hour is : $3^{n}$

Now, at n = 4, the growth of the bacteria is  $3^{4}$

= 3 x 3 x 3 x 3

⇒ $3^{4}$ = 81

So, at the end of the fourth hour, there are 81 stands of the bacteria present.