Solve Exponential Models with Ease

High School
Algebra
Algebra II
Exponential models

The exponential growth models, $A = 33.1 e^{0.009 t}$ (Canada) and $A = 28.2 e^{0.034 t}$ (Uganda) describe the population of the indicated country, A, in millions, t years after 2006. Use this information to determine whether the statement is true or false: "The models indicate that in 2013, Uganda’s population will exceed Canada’s". If the statement is false, make the necessary change(s) to produce a true statement.

Kyran Hudson 2021-09-18

The table shows the mid-year populations an of China (in millions) from 2002 through 2008. Year Population, an
_
2002 1284.3
2003 1291.5
2004 1298.8
2005 1306.3
2006 1314.0
2007 1321.9
2008 1330.0 _ Use the exponential regression feature of a graphing utility to find a geometric sequence that models the data. Let n represent the year, with n=2 corresponding to 2002.

illusiia 2021-09-18

The exponential models describe the population of the indicated country, A, in millions, t years after 2010. Use these models to solve, What was the population of Japan in 2010?
India: $A = 1173.1 e^{0.008 t}$
Iraq: $A = 31.5 e^{0.019 t}$
Japan: $A = 127.3 e^{- 0.006 t}$
Russia: $A = 141.9 e^{- 0.005 t}$

Anish Buchanan 2021-09-15

The exponential models describe the population of the indicated country A, in millions, t years after 2006. Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?
Country: 1 $A = 127.8 e^{0.006 t}$
Country 2: $A = 1096.9 e^{0.018 t}$
Country 3: $A = 147.4 e^{- 0.003 t}$
Country 4: $A = 25.6 e^{0.023 t}$

Clifland 2021-09-15

The exponential models describe the population of the indicated country, A, in millions, t years after 2010. Use these models to solve, When will India’s population be 1377 million?
India: $A = 1173.1 e^{0.008 t}$

sjeikdom0 2021-09-14

Your uncle purchases a new car for $22,499. The value of the car decreases by 11% each year.
Write the exponential equation that models the car's value after t years.

ankarskogC 2021-09-13

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I’m using a photocopier to reduce an image over and over by 50%,so the exponential function $f (x) = {(\frac{1}{2})}^{x}$ models the new image size, where x is the number of reductions.

Cheyanne Leigh 2021-09-13

Joe wants to rent an apartment with an initial monthly rent of $1,400. He has been told that the landlord raises the rent 1.25% each year. Set up an exponential function that models this situation. Calculate the rent after 12 years. Round to the nearest dollar.

bobbie71G 2021-09-11

The exponential models describe the population of the indicated country, A, in millions, t years after 2010.What was the population of Iraq in 2010?
Iraq: $A = 31.5 e^{0.019 t}$

Tobias Ali 2021-09-11

The exponential models describe the population of the indicated country, A, in millions, t years after 2010. Use these models to solve, When will Indias

facas9 2021-09-08

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. (If an answer does not exist, enter DNE.)
$\begin{array}{ll} x & - 2 & - 1 & 0 & 1 & 2 \\ f (x) & 2 & 4 & 8 & 16 & 32 \\ g (x) & 7 & 0 & 1 & 0 & 7 \end{array}$

Cem Hayes 2021-09-08

By 2009, the models indicate that Canada’s population will exceed Uganda’s by approximately 2.8 million.The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
Canada: $A = 33.1 e^{0.009 t}$
Uganda: $A = 28.2 e^{0.034 t}$

usagirl007A 2021-09-06

The initial value of building is $1,456,000. After one year the value of the building is $1,405,040. What exponential dunction models the expected value of the building? Estimate the value of the building after 5 years.

Chesley 2021-08-20

The exponential models describe the population of the indicated country, A, in millions, t years after 2006. Which countries have a decreasing population? By what percentage is the population of these countries decreasing each year?
Country 1: $A = 128.3 e^{0.007 t}$
Country 2: $A = 142.3 e^{- 0.009 t}$
Country 3: $A = 1087.7 e^{0.018 t}$
Country 4: $A = 27.3 e^{0.021 t}$

CMIIh 2021-08-16

A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population declined by 19% annual rate of decrease continues.
a) Find an exponential model that gives the wolf population W as a function of the time t in years since 2009.
$W = 870 {(1 - .19)}^{t}$
b) It is expected that the wolf population cannot recover if there are fewer than 25 individuals. How long must this rate of decline continue for the wolf population to reach 25?

Marvin Mccormick 2021-08-11

Explain please

Lennie Carroll 2021-08-07

Sketch a graph of the function. Use transformations of functions whenever possible. $f (x) = - | x |$

Chaya Galloway 2021-08-06

For the following exercises, use a graphing utility to create a scatter diagram of the data given in the table. Observe the shape of the scatter diagram to determine whether the data is best described by an exponential, logarithmic, or logistic model. Then use the appropriate regression feature to find an equation that models the data. When necessary, round values to five decimal places.
$\begin{array}{ccccccccc} x & 0 & 0.5 & 1 & 1.5 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ f (x) & 2.2 & 2.9 & 3.9 & 4.8 & 6.4 & 9.3 & 12.3 & 15 & 16.2 & 17.3 & 17.9 \end{array}$

CMIIh 2021-08-04

Use a system of linear equations in three variables to find an equation of the form $y = a x^{2} + b x + c$ that defines the parabola through the points (1, -1), (2, 1), and (-1, 7).

Rui Baldwin 2021-08-03

Sociologists have found that information spreads among a population at an exponential rate. Suppose that the function $y = 525 (1 - e^{- 0.038 t})$ models the number of people in a town of 525 people who have heard news within t hours of its distribution. Graph the function on a graphing calculator. When will 90% of the people have heart about the grocery store opening?

If you are looking for exponential models examples, you will find lots of various helpful solutions and answers to your questions regarding this inspiring aspect of Algebra 2. The solutions that you will see below will include word problems as well as these deal with anything from spoilage of food analysis to pathology tests taken at the hospital. These are also quite important during pandemic times as you will learn from equations and examples that are represented. Make sure to check your instructions against what has been already provided as it will help you to determine correct answers.

Algebra II

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