A population of bacteria follows the continuous exponential growth modelP(t)=P₀e^kt,where t is in days. The relative(daily) growth rate is 3.6%. The current population is 517.

A) Find the growth model.(the function that represents the population after tdays).

P(t) = ___

B) Find the population exactly 1weeks from now.Round to the nearest bacterium.

The population in 1weeks will be ___.

C) Find the rate of change in the population exactly 1weeks from now.

Round to the nearest unit.

The population will be increasing by about ____bacteria per day exactly 1weeks from now.

D) When will the popualtion reach 5551? ROUND TO 2 DECIMAL PLACES.

The population will reach 5551about _____days from now.