Please help with Linear Growth problem. All I need is explanation of the concept amd formula. I want to be able to explain how I came up with the answer. Please see attached file.

A town has a initial population of 2000 and Population Growth each year of 100.

Suppose instead that the town experiences growth that can be modeled by the following: P = 1000*t^0.5 + P0, where t is the number of years from 2010.
a) Insert the value of "2000" and use the Equation Editor or type square root of t as sqrt(t).
b) Round to the nearest whole person when necessary.
c) Use your equation from part a to approximate how many years it would take for the population to reach 7000. Round to the nearest whole year when necessary.
d) Graph this function in MS Excel by plotting the points found in your chart in part a. Label your axes with time on the x-axis and population on the y-axis. Copy and paste your graph here:

The solution shows how to use the radical function to model the population growth of a town. It includes detailed calculation and Excel graph to aid the understanding of the radical growth. It is part of group project of unit 4 of MTH 133.

MTH133
Unit 4 Group Project - A
Name:
Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population. You will graph the function for each population scenario and use your model to make some decisions about the population.
1) 1) De

III. Growth Modeled by a Radical Equation: (See attached file)
Suppose instead that the town experiences growth that can be modeled by the following: where t is the number of years from 2010.
a) Insert the value of that your group has decided upon into the equation above. Use the Equation Editor or type square root o

3.13) Suppose human population grows from 6.3 billion in 2000 to an ultimate population of 10.3 billion following the logistic curve. Assuming a growth rate of 1.5% in 2000, when would the population reach 9 billion? What would the population be in 2050?

Choose the amount of populationgrowth each year = example 350
(Hint: Choose a whole number for your growth rate, rather than a percent.)
a) Fill in the following chart:
Year (t) Population (P)
t=0 P = 350
(2010)
t=1
(2011)
t=2
(2012)
t=3
(2013)
t=6
(2016)
b) Find a linear equation in the form P

Assume the carrying capacity of Earth is 23 billion. Use the 1960s peak annual growth rate of 2.1% and population of 3 billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of 6.8 billion. How does the predicted growth rate compare to the actual growth rate of about

Discuss any difficulties you might have with grasping the concepts used in radical expressions. How would you explain square roots, cube roots, nth roots, and radicals to a student who is having difficulty understanding these concepts? What are some limitations of square root?