Exponential Functions Jeopardy

Initial Amount, Growth Factor, and Growth Rate

100

Use y = 250(1.2)^t 

Growth or decay

Initial amount?

What is 

Growth and 250

200

Use y = 250(1.2)^t 

What is the growth factor?

What is the growth rate?

Factor is 1.2

Rate is 20%

300

y = 9.8(0.82)^t 

Growth or Decay?

Factor? 

Rate?

Decay

Factor 0.82

Rate 18%

400

1500(1+^0.05/₄)⁴⁽⁶⁾

rate?

number of time compounded?

rate 5%

compounded quarterly n=4

500

y = 9800(1+^.082/₁₂)¹²⁽³⁾ 

compounded?

initial amount?

rate?

compounded monthly 

initial amount 9800

rate 8.2%

Applying Exponential Equations

100

The population in the town of Huntersville 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

Bao invested $510 in an account paying an interest rate of 3.7% compounded monthly. Assuming no deposits or withdrawals are made, how much money, would be in the account after 55 years?

$3890.45

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

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 Baconburg 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)^x and population of 67,891

300

Consider a savings account earning annual compound  modeled by the function s(x)=1000(1.035)^x .

What does the 1.035 represent?

a) growth rate of 1.035

b) growth rate of 3.5%

c) growth rate of 35%

b) growth rate of 3.5%

400

Determine whether the function below is exponential growth or exponential decay, and find the percentage rate of change. f(x) =3.5(0.91)^x
  

a) Exponential decay; 3.5%

b) Exponential growth; 9%

c) Exponential decay; 9%

d) Exponential growth; 3.5%

c) Exponential decay; 9%

500

Write a function that represents this table 

x        y

-2     0.25

-1     0.5

0      1

1      2

y= 2^x

Geometric sequence

100

Is this recursive or explicit

a_n= 5(a_n-1)

recursive

200

Recursive Formula or Explicit Formula

Find a₃₅

Explicit Formula 

300

What is the common ratio?

2, -10, 50, -250

r=-5

400

Write the explicit formula for 

1, 6, 36, 216, ...

a_n=6^x-1

500

Write the explicit formula for the following sequence 

 2.4, 2.88, 3.456,...

a_n= 2.4(1.2)^x-1