Exponential Functions Jeopardy

Vocab and Definitions

100

Use y = 250(1.2)^x What is the initial Value

250

200

Is the following growth or decay: f(x)=100(0.5)^x

What is decay

300

Is the following growth or decay: f(x)= 100(1.4)^x

What is growth

400

Is the following growth or decay: f(x) = 7 (0.94)^x

What is decay

500

y = 9.8(1.35)^x What is the growth rate (%)?

35%

Applying Exponential Equations

100

The population in the town of Exponentville is presently 38,300. The town grows at an annual rate of 1.2%. Find the number population of the town after 9 years.

Approximately 42,640 people

200

$1,200 is invested at an annual rate of 3.2%. How much money will the account have after 12 years?

$1751.21

300

The population in the town of Mathtopia is presently 42,500. The town has been growing at a steady rate of 2.7%. What will the population of the town be in 5 years?

Approximately 42, 499 People

400

The value of a car was $22,000 when it was purchased. They car depreciates at a rate of 19% per year. How much will the car be worth in 8 years?

$4,076.64

500

The value of a stock when purchased is $10 a share. However, over the past 5 days the price went down at a constant rate of 4%. How much is the stock worth now?

$8.15

Linear or Exponential?

100

Is the following set of ordered Pairs linear or exponential?

(1,2) 

(2,4)

(3,8)

(4,16)

Exponential

200

Is the following set of ordered Pairs linear or exponential?

(1,2) 

(2,4)

(3,6)

(4,8)

Linear

300

Is the following set of ordered Pairs linear or exponential? Write the EQUATION!

(0,3) 

(1,6)

(2,12)

(3,24)

Exponential, y=3(2)^x

400

Is the following set of ordered Pairs linear or exponential? Write the EQUATION!

(0,10) 

(1,12)

(2,14)

(3,16)

LINEAR, y=2x+10

500

Is the following set of ordered Pairs linear or exponential? Write the EQUATION!

(0,10) 

(1,50)

(2,250)

(3,125)

EXPONENTIAL: y=10(5)^x

Writing Exponential Functions

100

Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.

What is f(x) = 422,000(1.12)^x

200

The population of Penguinville starts off at 20,000, and grows by 13% each year. Write an exponential growth model and find the population after 10 years.

What is f(10) = 20,000(1.13)¹⁰ and population of 67,891

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 an annual rate of 3.2%. Write an equation to model the growth of the bunny family.

What is f(x) = 154(1.032)^x

400

The fish in Gimkit FishTown were declining at an annual rate at 1.5%. Their current number is estimated at 2500. Write an equation to model the decreasing number of fish.

What is y = 2500(.985)^x

500

The squid in Inky Lake were declining at an annual rate at 5.5%. Their current number is estimated at 50,000. Write an equation to predict the number of squid in the lake in 10 years.

What is f(10) = 50000(.945)¹⁰ and 28,398 squid

Exponents

100

(3x²y⁴)(2x⁵y⁷)

6x⁷y¹¹

200

(3x⁴y³)¹⁰

3¹⁰x⁴⁰y³⁰

300

12x³y¹²z⁴/3xy⁸z⁴

4x²y⁴

400

(3x²y⁴)²(2x⁵y³)³ / 4x⁴y⁵

18x¹⁵y¹²

500

12x¹⁰y³⁰z¹⁰  / 48(xy¹⁰z⁴)⁵

1x⁵ / 4y²⁰z¹⁰