Growth or Decay?
Evaluating Exponential Equations
Initial amount and Growth Factor
Writing exponential equations
Exponents
100

Is the following growing or decaying?


f(x)=2x 

Growing

100

f(x)=38,300(1.012)x

What is f(9)?

42,641

100

y = 250(1.2)x


What is the initial amount?

250

100

Write an exponential equation to model the situation. A population of 422,000 increases by 1.12 each year.

y=422,000(1.12)x

100

What is 27?

128

200

Is the following growth or decay?


f(x)=100(0.5)x

Decay

200

f(x)=1200(1.032)x


What is f(12)?

1,751.21

200

y = 250(1.2)x


What is the growth factor?

1.2

200

The population of Baconburg starts off at 20,000, and grows by 1.13 each year. Write an exponential equation.

y=20,000(1.13)x

200

What is 8000?

1

300

Is the following growth or decay?


f(x)=100(1.4)x

Growth

300

f(x)=42,500(1.027)x


What is f(5)? 

48,556

300

y=100(0.94)x


What is the growth factor?

0.94

300

The Hippityhoppity bunny decided to have a family reunion at the Magic Forest every 5 years. During the second reunion the family discovered that the number of family members was 154 and was growing at a rate of 1.20. Write an equation to model the growth of the bunny family.

y=154(1.2)X

300

What is 2-2?

1/4

400

Is the following growth or decay?


f(x)=7(0.94)x

Decay

400

The value of a car was $22,000 when it was purchased. They value of the car remains at a rate of 0.81. How much will the car be worth in 8 years?

$4,076.64

400

y = 9.8(1.35)x 


What is the initial amount?

9.8

400

The fish in The Magic Forest Lake were decreasing by 1/3. Their current number is estimated at 2500. Write an equation to model the decreasing number of fish.

y=2500(2/3)x

400

What is (23)(26)? 

Rewrite this as an exponent, DO NOT PUT IT IN THE CALCULATOR. 

29

500

Is the following growth or decay?


f(x)=350(1.2)x

Growth

500

The value of a stock when purchased is $10 a share. However, over the past 5 days the price went down. 0.96 of the value remains. How much is the stock worth now?

$8.15

500

y = 9.8(1.35)x


What is the growth factor?

1.35

500

The squid in The Magic Forest Lake were declining by 1/4. Their current number is estimated at 50,000. Write an equation to model the squid population. 

y=50,000(3/4)x

500

What is 69549459403300?

1

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