The table below shows the population of Angola between 1970 and 2010. This data can be modelled

Question:

The table below shows the population of Angola between 1970 and 2010.

This data can be modelled using an exponential function of the form P = ab^t, where t is the time in years since 1970 and a and b are constants.

a. Copy and complete the table below, giving your answers to 2 decimal places.

b. Plot a graph of log P against t using the values from your table and draw in a line of best fit.

c. By rearranging P = abt, explain how the graph you have just drawn supports the assumed model.

d. Use your graph to estimate the values of a and b to two significant figures.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 15, 2023 03:27 AM

See More Questions

The table below shows the population of Mozambique between 1960 and 2010. This data can be modelled using an exponential function of the form P = ab t , where t is the time in years since 1960 and a...
The table below gives the surface area, S, and the volume, V of five different spheres, rounded to 1 decimal place. Given that S = aV b , where a and b are constants, a. Show that log S = log a + b...
The data below follows a trend of the form y = ab x , where a and b are constants. a. Copy and complete the table of values of x and log y, giving your answers to 2 decimal places. b. Plot a graph of...
The city pool loses 1.0 inch of water every week due to evaporation. If the pool is 25 yards long and 12 yards wide, what is the energy required to keep the pool at 15C. If the cost of energy is...
My Kitchen Delights (MKD), a regional producer of gourmet jams and jellies, uses approximately 24,000 glass jars each month during its production. Because of space limitations, MKD orders 5000 jars...
Repeat the Problem 10.116 simulation 1000 times, and compute the proportion of simulations in which a significant difference is found (i.e., an estimate of the power of the study)? Simulation Suppose...
Gold-on-gold nuclear collisions at the Relativistic Heavy Ion Collider (RHIC) at the Brookhaven National Laboratory create a quark-gluon plasma with an energy density of about \(4 \mathrm{GeV} /...
The trial balance of Nixon Company as of January 31, 2016, after the company completed the first month of operations, is shown in the partial worksheet below. INSTRUCTIONS 1. Record the trial balance...
1. Find the mass of 3.02 x 10 19 atoms of arsenic, which has a molar mass of 74.9 g/mol. 2. Gold has a molar mass of 197 g/mol. (a) How many moles of gold are in a 3.03 g sample of pure gold? (b) How...
The diagram shows a section of the curve with equation y = x 4 + 3x 2 + 4. The curve intersects the x-axis at points A and B. The finite region R, which is shown shaded, is bounded by the curve and...
Given that find the value of the constant k. L(x- (xkx) dx = 0,
A film editor feels that the standard deviation for the number of minutes in a video is 3.4 minutes. A sample of 24 videos has a standard deviation of 4.2 minutes. At = 0.05, is the sample standard...
Objective: Using the provided code (Box.java and Question03.java), write methods that returns the instances of boxes that have the minimum and maximum weight of an array of boxes. Requirements: ...
Consider the following two C++ programs P and P2 and two statements S and S2 about the programs: P1 P2 double a = 1, b void f(int a, int*b, =2; int &c) double &f(double { a = 1; &d) *b=2; c = 3; d =...
refactor this code? package edu.gatech.seclass.edtext; import org.apache.commons.cli.*; import org.apache.commons.lang3.StringUtils; import java.io.FileNotFoundException; import java.io.IOException;...
Janet is planning to visit Arizona, New Mexico, and California on a 14-day vacation. If she plans to spend as much time in New Mexico as she does in the other two states combined, how can she allot...
RefactoreState pattern in Control (using Enums for the various Menus, Forms) So. NO USE of the Builders at all. What I tried to do was take the code from toUIMenu() out of the menu builder and put it...
Home Entertainment is a small, family-owned business that purchases LCD televisions from a reputable manufacturer and sells them at the retail level. The televisions sell, on average, for $1,500...
Let (x) = x 2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (((--) 2
To test the significance of this regression line, is it necessary to perform any additional tests other than those in Problem 11.20? If so, perform them. Cancer The following statistics are taken...
What is the expected lung-cancer mortality rate with an annual cigarette consumption of 1 lb/person? Cancer The following statistics are taken from an article by Burch relating cigarette smoking to...
Why are the variables mortality rate and annual cigarette consumption expressed in the log 10 scale? Cancer The following statistics are taken from an article by Burch relating cigarette smoking to...
Consider the American call options with price CA(S+, t; K,T) where S is the spot price at time t 0), and the un- derlying stock does not pay any dividends, then the price of the American call option...
Look for problematic indicators such as digital irresponsibility or character issues, and positive indications such as initiative, respect for previous employers, and community service. Look for...
The graph of f(x) x is shown on the left. On the right, the graph is reflected in the y axis. Write the equation of the graph on the right.

The table below shows the population of Angola between 1970 and 2010. This data can be modelled

Question:

Year 1970 1980 1990 2000 2010 Population, P (millions) 5.93 7.64 10.33 13.92 19.55

Step by Step Answer:

a To complete the table we need to calculate the values of time in years t and the logarithm of the ...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions