Exponential Growth & Decay

Exponential Growth & Decay

Assessment

Flashcard

Mathematics

8th - 10th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is exponential growth?

Back

Exponential growth occurs when the increase of a quantity is proportional to its current value, leading to growth at an increasing rate over time.

2.

FLASHCARD QUESTION

Front

What is exponential decay?

Back

Exponential decay describes a decrease in quantity where the rate of decrease is proportional to the current amount, resulting in a rapid decline that slows over time.

3.

FLASHCARD QUESTION

Front

What does the variable 'a' represent in the function f(x) = a(b)^x?

Back

The variable 'a' represents the initial amount or starting value in the exponential function.

4.

FLASHCARD QUESTION

Front

What does the variable 'b' represent in the function f(x) = a(b)^x?

Back

The variable 'b' is the base of the exponential function, representing the growth (b > 1) or decay (0 < b < 1) factor.

5.

FLASHCARD QUESTION

Front

How do you identify exponential growth from a function?

Back

Exponential growth can be identified if the base 'b' in the function f(x) = a(b)^x is greater than 1.

6.

FLASHCARD QUESTION

Front

How do you identify exponential decay from a function?

Back

Exponential decay can be identified if the base 'b' in the function f(x) = a(b)^x is between 0 and 1.

7.

FLASHCARD QUESTION

Front

What is the common ratio in the function f(x) = 300(1.16)^x?

Back

The common ratio is 1.16, indicating a 16% increase for each unit increase in x.

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