Exponential Decay Concepts and Applications

Exponential Decay Concepts and Applications

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve a population decrease problem using exponential and modeling formulas. It covers the application of these formulas to calculate the population after 18 years, identifies mistakes in the initial calculations, and corrects them to arrive at a reasonable solution.

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26 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial population mentioned in the problem?

752

7,520

75,200

752,000

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the annual decrease rate of the population?

1.4%

0.014%

0.14%

14%

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to model exponential growth or decay?

a(t) = a / (1 + r)^t

a(t) = a + rt

a(t) = a * (1 + r)^t

a(t) = a - rt

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation a(t) = a * (1 + r)^t, what does 'a' represent?

Final amount

Time period

Initial amount

Rate of change

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does 'r' represent in the exponential equation?

Initial amount

Rate of change

Time period

Final amount

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How should the rate be expressed in the equation for a decreasing population?

As a fraction

As a whole number

As a percentage

As a decimal

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct expression for a decreasing rate of 1.4%?

0.014

0.986

1.4

1.014

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