At 1 p. M., the number of bacteria in a petri dish is 54. It is estimated that the population of bacteria will increase by 6% each hour. Write a formula for the population of bacteria.

Answer: y = 54 (1.06) ^t

Step-by-step explanation:

It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as

y = b (1 + r) ^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 54

r = 6% = 6/100 = 0.06

Therefore, the formula for the population of bacteria is

y = 54 (1 + 0.06) ^t

y = 54 (1.06) ^t