Exponential Growth and Decay

Exponential Growth and Decay

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.8B, HSF-LE.A.1C, HSF.LE.B.5

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

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.

Tags

CCSS.HSF-IF.C.8B

2.

FLASHCARD QUESTION

Front

What is the formula for exponential decay?

Back

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

Tags

CCSS.HSF-IF.C.8B

3.

FLASHCARD QUESTION

Front

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

Back

To convert a percentage growth rate to a decimal, divide the percentage by 100. For example, 35% becomes 0.35.

Tags

CCSS.HSF-IF.C.8B

4.

FLASHCARD QUESTION

Front

What does it mean for a population to decrease by a certain percentage each year?

Back

It means that each year, the population is reduced by that percentage of its current size.

Tags

CCSS.HSF-LE.A.1C

5.

FLASHCARD QUESTION

Front

How do you calculate the value of an asset after depreciation?

Back

To calculate the value of an asset after depreciation, use the formula: Value = Initial Cost × (1 - Depreciation Rate)^t.

6.

FLASHCARD QUESTION

Front

What is the significance of the initial amount in exponential functions?

Back

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

Tags

CCSS.HSF.LE.B.5

7.

FLASHCARD QUESTION

Front

How can you determine the population after a certain number of years with a given growth rate?

Back

Use the exponential growth formula: y = a(1 + r)^t, substituting 'a' with the initial population, 'r' with the growth rate, and 't' with the number of years.

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