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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

Ethan Morris

FREE Resource

The video tutorial explains how to model exponential growth and decay using equations. It first covers a scenario where a quantity starts at one and triples four times a day, leading to an equation with an exponent of 4x. Then, it discusses a situation where a quantity starts at four and halves every two weeks, resulting in an equation with an exponent of x/2. The tutorial emphasizes understanding initial values, growth or decay rates, and how often these changes occur.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial value of the quantity that triples four times a day?

1

3

4

12

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many times does the quantity triple in one day?

Once

Three times

Twice

Four times

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the exponential growth equation for the quantity that triples?

4

1

2

3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the exponent represented in the equation for the quantity that triples four times a day?

2X

4X

X/4

X

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial value of the quantity that halves every two weeks?

1

2

3

4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How often does the quantity halve?

Every day

Every month

Every two weeks

Every week

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the exponential decay equation for the quantity that halves?

1/4

1/3

1

1/2

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