Since 1990, the number of arrivals of migratory birds to a wetland has been monitored. Based on the data collected over the years until 2022, a model was created to predict the size of the colony of migratory birds that would come to the wetland each year. The model was found to beP = 3250(0.98)t Where P is the size of the colony (number of birds), and t is the time (t = 0 for year 1990). What do we know from this model about the number of arrivals of migratory birds to the wetland?Select all the correct answers.Question 9Answera.The size of the colony of the migratory birds arriving has decreased exponentially with a total rate of decay of 2% between 1990 to 2022 inclusive.b.The model estimates that there were 3250 birds arriving in 1990.c.The size of the colony of migratory birds arriving has been declining exponentially over the years at a constant rate of 2% each year.d.The size of the colony in 2021 is 98% that of 2020.

The population of a certain species of bird is limited by the type of habitat required for nesting. The population behaves according to the logistic growth modeln(t) = 2,6000.5 + 25.5e−0.041twhere t is measured in years.(a) Find the initial bird population. birds(b) Draw a graph of the function n

A bird population nested along the banks of a river and fed off fish. After new homes were built along the river, the bird population declined. A change to which limiting factor was most likely responsible? space water weather sunlight

In what situation might a continuous-time exponential growth model be a GOOD description of how population size grows over time? Group of answer choicesA population of animals infested by transmissible deadly parasitesA population of birds with several predators.A bacterial culture growing in a laboratory with an unlimited amount of resources.A population of rats living on a small island.

The table below shows the population of rabbits in a forest each year for several years. Write an explicit formula to model the data and estimate the rabbit population in year 10 based on your model.year 12345population 5761152230446089216

o it makes sense to generalize this model to anydistance d and the (constant) migration speed v0, still assuming it will depend linearly on the timespend foraging before taking off, would be given byv0 = a + b τ, (10)where τ is the time in days that the red knot spends foraging in the Dutch Wadden Sea and v0 isthe constant speed in km per day at which it will be able to travel the entire distance d and thecoefficients a and b are constants that may be different for different species of migrating birds.(d). Show that the total time before the bird arrives at their wintering grounds would be given byT = da + b τ + τ.