Exponential Functions and Compound Interest

Exponential Functions and Compound Interest

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers solving word problems involving exponential equations. It begins with an introduction to exponential word problems and explains the general exponential formula, including its components like initial amount, rate, and time. The tutorial then demonstrates solving compound interest problems, bacterial growth problems, and applies exponential equations to Moore's Law for transistor growth. Each section provides step-by-step guidance on using the exponential formula to find unknown variables, emphasizing real-world applications and problem-solving techniques.

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18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving word problems involving exponential equations?

Identify the variables

Determine the time period

Find the exponential equation

Calculate the final amount

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the general exponential formula, what does 'P' represent?

Time period

Final amount

Rate of growth

Initial amount

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'e' in the exponential formula?

2.718

1.618

0.577

3.142

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of exponential equations, what does 'T' typically represent?

Time

Total amount

Temperature

Tax rate

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the compound interest problem, what was the initial deposit amount?

$500

$2,000

$1,000

$1,500

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the final amount the investment grew to in the compound interest problem?

$1,400

$1,100

$1,300

$1,200

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How long did it take for the investment to grow to the final amount in the compound interest problem?

5 years

4 years

3.64 years

2 years

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