A population of bacteria is growing according to the equation P (t) = 1050e^0.16t.

Use a graphing calculator to estimate when the population will exceed 2337.

t = Give your answer accurate to one decimal place

t must be greater than 5.0

Step-by-step explanation:

P (t) = 1050e^0.16t

We want P (t) > 2337

2337 < 1050e^0.16t

Divide each side by 1050

2337/1050< 1050/1050 e^0.16t

Take the natural log of each side

ln (2337/1050)) < ln (e^0.16t)

ln (2337/1050) < 0.16t

Divide by. 16

ln (2337/1050) /.16 < 0.16/.16t

ln (2337/1050) /.16 < t

5.00049