maths

posted by .

1. Identify two examples of exponential r/s
2. The data below shows how the the population of the world has changed over the last three hundred years
Year population(mill)
1650 500
1700 600
1750 700
1800 900
1850 1300
1900 1700
1950 2500
2000 7000
The data can be modelled by a function of the form P=Poe^kt
where P is the pop in millions at t years and Po and K are constants;
a. What is the relevance of Po in the exp eqn
b. Transform the exp eqn to linear form
c. Use the linearised model to plot a graph and draw in the line of best fit
d. Find the eqn of the line of best fit. Use the eqn to find the values of K and Po and comment on your answers.
e. Use your model to predict the pop in year 2050
f. Use your model to estimate when the pop will be 10 000 million.

Po is the intial population: you can choose when. Let it be 1650.

7000=500 e^(350k)

solve for k (divide both sides by 500, then take the loge of each side).

Similar Questions

1. math

Hi, I had a question about exponential growth. The problem says: The population in Woonsocket is 43,500. Every year the population increases by 2%. Write the exponential equation that represents this situation. I put that the equation …
2. maths

The variation in size from year to year of a particular population can be modelled by an exponential model with annual proportionate growth rate 0.1246. The size of the population at the start of the initial year is 360. Choose the …
3. maths

The variation in size from year to year of a particular population can be modelled by an exponential model with annual proportionate growth rate 0.1246. The size of the population at the start of the initial year is 360. Choose the …
4. maths

The variation in size from year to year of a particular population can be modelled by an exponential model with annual proportionate growth rate 0.1246. The size of the population at the start of the initial year is 360. Choose the …
5. Algebra

Wk 6 Sec 12.7 #24 World population growth In 2008 the world population was 6.7 billion and the exponential growth rate was 1.14% per year. A.Find the exponential growth function B.Predict the worldâ€™s population in 2014 C.When will …
6. maths

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015.
7. pre calc

population of city has varied considederably in recent years. the data it the relates the pollution P to time t, in years, where t=0 correponds to 1990. use a quadratic function fitted to the data to predict the population in 2000 …
8. math

the population of the world in the year 1650 was about 500 millions ,and in the year 2010 was about 6756 million .assuming that the population of the world grows exponentially ,find the equation for the population P(t) in millions …
9. maths

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 1991.