a biologist is studying the growth of a population of bacteria over time. after collecting data, the…

a biologist is studying the growth of a population of bacteria over time. after collecting data, the biologist performs an exponential regression analysis and obtains the equation ( p = 1000(1.2)^t ), where ( p ) represents the population of bacteria after ( t ) hours. if the biologist started looking at the data at noon, how many bacteria will there be at 3pm? bacteria at 3pm

a biologist is studying the growth of a population of bacteria over time. after collecting data, the biologist performs an exponential regression analysis and obtains the equation ( p = 1000(1.2)^t ), where ( p ) represents the population of bacteria after ( t ) hours. if the biologist started looking at the data at noon, how many bacteria will there be at 3pm? bacteria at 3pm

Answer

Explanation:

Step1: Determine the value of ( t )

From noon to 3 PM, the time elapsed ( t = 3 ) hours.

Step2: Substitute ( t = 3 ) into the formula ( P=1000(1.2)^{t} )

Substitute ( t = 3 ) into ( P = 1000(1.2)^{t} ), we get ( P=1000\times(1.2)^{3} ). First, calculate ( (1.2)^{3}=1.2\times1.2\times1.2 = 1.728 ). Then, ( P=1000\times1.728 ).

Answer:

( 1728 )