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Exponential Growth and Decay Concepts

Exponential Growth and Decay Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers exponential functions, focusing on growth and decay models. It explains how to convert percentages to decimals and applies these concepts to model population changes. The tutorial also introduces compound interest, comparing it to simple interest, and demonstrates calculations using a certificate of deposit example.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general shape of an exponential growth function?

A straight line

A U-shaped curve

A V-shaped curve

A J-shaped curve

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In an exponential decay model, what is the range of the constant ratio B?

B < 0

B > 1

0 < B < 1

B = 1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert a percentage to a decimal?

Multiply by 100

Divide by 100

Subtract 100

Add 100

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a population of 5,000 grows at an annual rate of 15%, what is the growth factor?

0.85

15

1.15

0.15

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial population in the decay example?

5,000

144

1,000

10,000

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What distinguishes compound interest from simple interest?

Simple interest results in a higher total amount.

Simple interest is calculated more frequently.

Compound interest includes interest on previously earned interest.

Compound interest is calculated on the initial principal only.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the compound interest formula, what does 'n' represent?

The number of times interest is compounded per year

The interest rate

The principal amount

The total time in years

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