Basic Exponential Growth and Decay

Basic Exponential Growth and Decay

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Medium

Created by

Wayground Content

Used 1+ times

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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, resulting in a rapid increase. For example, if a population doubles every year, it is experiencing exponential growth.

2.

FLASHCARD QUESTION

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease. An example is radioactive decay, where a substance loses half of its mass in a fixed time period.

3.

FLASHCARD QUESTION

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is y = a * b^x, where 'a' is a constant, 'b' is the base (b > 0), and 'x' is the exponent.

4.

FLASHCARD QUESTION

Front

What does the base 'b' represent in an exponential function?

Back

In an exponential function y = a * b^x, the base 'b' represents the growth (b > 1) or decay (0 < b < 1) factor.

5.

FLASHCARD QUESTION

Front

How can you identify an exponential function from a graph?

Back

An exponential function graph will show a curve that either rises steeply (growth) or falls steeply (decay) rather than a straight line.

6.

FLASHCARD QUESTION

Front

What is the difference between linear and exponential functions?

Back

Linear functions increase or decrease by a constant amount, while exponential functions increase or decrease by a constant percentage.

7.

FLASHCARD QUESTION

Front

What is an example of a real-world situation that can be modeled by an exponential function?

Back

An example is compound interest in finance, where the amount of money grows exponentially over time due to interest being calculated on the accumulated amount.

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