Exponential Growth and Decay Word Problems Practice

Exponential Growth and Decay Word Problems Practice

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is exponential decay?

Back

Exponential decay refers to a decrease in a quantity by a consistent percentage over a period of time, resulting in a rapid decline.

2.

FLASHCARD QUESTION

Front

How do you calculate the population after a percentage decrease?

Back

Use the formula: P = P0 * (1 - r)^t, where P0 is the initial population, r is the rate of decrease (as a decimal), and t is the time in years.

3.

FLASHCARD QUESTION

Front

If a city has a population of 2,950,000 and decreases by 2.5% annually, what will be the population after 8 years?

Back

Population in 2008 = 2,950,000 * (1 - 0.025)^8 = 2,409,123.

4.

FLASHCARD QUESTION

Front

What is the formula for exponential growth?

Back

Exponential growth can be calculated using the formula: P = P0 * (1 + r)^t, where P0 is the initial amount, r is the growth rate (as a decimal), and t is the time in years.

5.

FLASHCARD QUESTION

Front

How do you find the value of a depreciating asset?

Back

Use the formula: V = V0 * (1 - r)^t, where V0 is the initial value, r is the depreciation rate (as a decimal), and t is the time in years.

6.

FLASHCARD QUESTION

Front

If a magazine has 98,000 subscribers and loses 10% each year, how many subscribers will it have in 10 years?

Back

Subscribers after 10 years = 98,000 * (1 - 0.10)^10 = 34,170.

7.

FLASHCARD QUESTION

Front

What does it mean for a car to depreciate at 11% per year?

Back

It means the car's value decreases by 11% of its current value each year.

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