Select the correct answer from each drop-down menu.A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.𝑟⁡(𝑥)=0.05⁢(𝑥2+1)⁢(𝑥−6)Consider the graph of function r.Use the graph to complete each statement.Function r has and . Based on the instantaneous growth rate, the population decreased days and the population increased days.

If a population with abundant resources and no predators has an intrinsic rate of increase of 0.2 and a starting population size of 20 individuals, what is the approximate population size at the end of 4 days of growth? Use a chart similar to the one shown in the tutorial for exponential growth.Multiple Choice35 individuals36 individuals42 individuals50 individuals

a) A population of bacteria has an initial size 200. After one hour, the population has reached 220. The population grows in such a way that the rate of growth doubles each hour.(2 marks)i. What is the population after five hours? ii. Write a recurrence relation for growth of bacteria, be, after n hours. (3 marks)

A bacterial population is exponentially growing at a growth rate of 0.1 per individual per hour. The initial population size is 1. Assume that 𝑙𝑜𝑔10(𝑒)=0.5. How many hours does it take for the population size to reach 1000? See if you can answer this question without using a calculator or computer.Group of answer choices1998069.0782300260

A bacteria culture grows with a constant relative growth rate. After 2 hours there are 400 bacteria and after 8 hours the count is 50,000.(a) Find the initial population.P(0) = bacteria(b) Find an expression for the population after t hours.P(t) = (c) Find the number of cells after 5 hours. (Round your answer to the nearest integer.)P(5) = bacteria(d) Find the rate of growth after 5 hours. (Round your answer to the nearest integer.)P'(5) = bacteria/hour(e) When will the population reach 200,000? (Round your answer to one decimal place.)t = hours

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