Search Header Logo
  1. Resource Library
  2. Math
  3. Algebra
  4. Exponential Growth And Decay
  5. Exponential Growth And Decay
Exponential growth and decay

Exponential growth and decay

Assessment

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•
CCSS
HSF.LE.A.2, HSA.CED.A.1, HSF.BF.A.2

+1

Standards-aligned

Created by

Nakeyta Coleman

Used 63+ times

FREE Resource

13 Slides • 7 Questions

1

media

2

Steps for Exponential Problem Solving

1: Decide if the problem is describing exponential growth or decay. ("increase" = growth, "decrease" = decay)


2: Convert the growth or decay percentage to a decimal. This decimal is your r value. Ex: 23% = .23 and 5% = .05


3: Write your exponential equation. a is your starting value.

GROWTH: y = a(1 + r)^x

DECAY: y = a(1 - r)^x


4: Use the equation to solve the problem. Remember that x is input and y is output.

3

media

4

Multiple Choice

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?

1

f(x) = 12000(1 + 14.9)x

2

f(x) = 12000(1 - 14.9)x

3

f(x) = 12000(1 + 0.149)x

4

f(x) = 12000(1 - 0.149)x

5

media

6

Multiple Choice

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

1

$176,783.29

2

$424,527.63

3

$57,357.75

4

$532,041,076.80

7

media

8

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

1

y=5000(0.7)x

2

y=30(5000)x

3

y=5000(1.3)x

4

y=5000xx

9

media

10

media

11

media

12

media

13

media

14

media

15

Multiple Choice

A publishing industry report predicts that magazine subscriptions will drop by 10% each year. If this prediction is correct, then how many subscribers will a magazine with 98,000 subscribers have in 10 years? (Round to the nearest whole number if necessary).

1

34,170

2

16,348

3

7690

4

76,023

16

Multiple Choice

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).

1

604

2

777

3

29

4

198

17

media

18

Multiple Choice

The value of a car is $18,000 and depreciating at a rate of 12% per year. Use an exponential function to find the value of the car after 10 years.

1

$5,013.02

2

$12,128.74

3

$6,838.98

19

Multiple Choice

An investment of $8200 loses value at a rate of 2% per year. Use an exponential function to find the value of the investment after 9 years.

1

$4,147.02

2

$6,836.73

3

$5,105.17

20

media
pattern-tertiary
media

Show answer

Auto Play

Slide 1 / 20

SLIDE