Exponential Growth and Decay

Exponential Growth and Decay

Assessment

Flashcard

Mathematics

8th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, leading to rapid increases as time progresses.

2.

FLASHCARD QUESTION

Front

What is exponential decay?

Back

Exponential decay is the decrease of a quantity at a consistent percentage rate over time, resulting in a rapid decline initially that slows down over time.

3.

FLASHCARD QUESTION

Front

Define the growth factor in exponential growth.

Back

The growth factor is calculated as (1 + r), where r is the growth rate expressed as a decimal.

4.

FLASHCARD QUESTION

Front

Define the decay factor in exponential decay.

Back

The decay factor is calculated as (1 - r), where r is the decay rate expressed as a decimal.

5.

FLASHCARD QUESTION

Front

If a population of 1,000 increases by 20% each month, what is the population after 1 month?

Back

1,000 * (1 + 0.20) = 1,200.

6.

FLASHCARD QUESTION

Front

How do you calculate the future value of an investment with exponential growth?

Back

Use the formula: Future Value = Present Value * (1 + r)^t, where r is the growth rate and t is the time in periods.

7.

FLASHCARD QUESTION

Front

How do you calculate the present value of an investment with exponential decay?

Back

Use the formula: Present Value = Future Value / (1 + r)^t, where r is the decay rate and t is the time in periods.

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