Exponential Growth and Decay

Exponential Growth and Decay

Assessment

Flashcard

Mathematics

9th Grade

Easy

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. Example: A population that doubles every year.

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. Example: A radioactive substance that loses half of its mass every year.

3.

FLASHCARD QUESTION

Front

What is the formula for Exponential Growth?

Back

The formula is A = P(1 + r)^t, where A is the amount after time t, P is the initial amount, r is the growth rate, and t is time.

4.

FLASHCARD QUESTION

Front

What is the formula for Exponential Decay?

Back

The formula is A = P(1 - r)^t, where A is the amount after time t, P is the initial amount, r is the decay rate, and t is time.

5.

FLASHCARD QUESTION

Front

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

Back

The variable 'b' represents the base or common ratio, indicating the growth (b > 1) or decay (0 < b < 1) factor.

6.

FLASHCARD QUESTION

Front

If Jack invests $600 at a 5% interest rate, how much will he have after 5 years?

Back

$765.77

7.

FLASHCARD QUESTION

Front

Classify the model A=1200(0.85)^6 as Exponential GROWTH or DECAY.

Back

Decay

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