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Recognizing Exponential Functions

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

Stephen has $30 in a savings account. The interest rate is 5%, compounded annually.

a)

Exponential Growth

b)

Exponential Decay

c)

Linear Growth

d)

Linear Decay

2.

A $45,000 car depreciates in value by 7.1% each year after purchase.

a)

Exponential Growth

b)

Exponential Decay

c)

Linear Growth

d)

Linear Decay

3.

The student enrollment at Rome High School since 2016, can be estimated by the equation  y=2076(0.97)ty=2076\left(0.97\right)^t  where t is the number of years since 2016.

a)

Exponential Growth

b)

Exponential Decay

c)

Linear Growth

d)

Linear Decay

4.

The graph the number of college basketball teams playing in the March Madness tournament for each round of the tournament. In which round are there 8 teams playing?

a)

Round 5

b)

Round 8

c)

Round 4

d)

Round 3

5.

What is the decay factor shown in the graph?

a)

2

b)

0.5

c)

0.4

d)

0.25

6.

An account earning interest at a rate of 4% has a principal of $500,000. If no more deposits or withdrawals are made, about how much money will be in the account after 5 years?

a)

$595,400

b)

$608,300

c)

$705,200

d)

$620,700

7.

In the function f(x)=142(1.005)x , is this growth or decay and by how much?

a)

Growth by 5%

b)

Growth by 0.5%

c)

Decay by 5%

d)

Decay by 0.5%

8.

In the function f(x)=4(.375)x , is this growth or decay and by how much?

a)

Growth by 37.5%

b)

Growth by 62.5%

c)

Decay by 37.5%

d)

Decay by 62.5%

9.

In the function f(x)=1.25(0.65)x , is this growth or decay and by how much?

a)

Growth by 25%

b)

Growth by 65%

c)

Decay by 25%

d)

Decay by 35%

10.

What is the range of the exponential function?

a)

all real numbers

b)

y > -1

c)

y < -1

d)

x > -1