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Linear Growth and Population Models

Linear Growth and Population Models

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains how to model quantities that change over time using linear growth models. It introduces the concept with Marco's antique soda bottle collection, demonstrating how to calculate future quantities using recursive and explicit formulas. The tutorial further illustrates these concepts with an example of elk population growth, showing how to solve for initial quantities and growth rates using a system of equations.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial number of bottles in Marco's collection?

437

500

1000

32

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many new bottles does Marco add to his collection each year?

25

50

100

32

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of model is used to describe a quantity growing by the same amount over time?

Quadratic Growth Model

Logarithmic Growth Model

Linear Growth Model

Exponential Growth Model

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a linear growth model, what does the variable 'd' represent?

Initial quantity

Constant growth amount

Time period

Final quantity

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which form of the linear growth model uses the initial amount and constant difference to find the quantity after n time periods?

Logarithmic form

Exponential form

Recursive form

Explicit form

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the elk population in the year 2003 according to the example?

15,000

12,000

20,000

10,000

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the elk population example, what year is considered as n equals zero?

2000

2003

2007

2014

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