Exponential Growth

Exponential Growth

Assessment

Flashcard

Mathematics

8th - 9th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is exponential growth?

Back

Exponential growth is a process where the quantity increases by a consistent percentage over a specific period of time, leading to rapid growth as time progresses.

2.

FLASHCARD QUESTION

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate (as a decimal), and 't' is the time period.

3.

FLASHCARD QUESTION

Front

If a population of 4,000 mosquitoes grows at a rate of 25% per month, how do you calculate the population after 4 months?

Back

Use the formula: y = 4000(1 + 0.25)^4. Calculate to find y.

4.

FLASHCARD QUESTION

Front

What does the initial value represent in an exponential function?

Back

The initial value represents the starting amount before any growth occurs.

5.

FLASHCARD QUESTION

Front

How do you convert a percentage growth rate to a decimal for calculations?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 25% becomes 0.25.

6.

FLASHCARD QUESTION

Front

What is the significance of the exponent in an exponential function?

Back

The exponent indicates the number of time periods the growth occurs, affecting the final amount significantly.

7.

FLASHCARD QUESTION

Front

How do you write an exponential growth function for a value increasing by 9% each year starting at $1400?

Back

The function is y = 1400(1.09)^x.

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