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Exponential Functions Test

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
2.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
3.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
4.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY FACTOR
5.

Which does y= 2(.5)x represent?

a)

Exponential Growth

b)

Exponential Decay

6.

Which does y=.5(2)x represent?

a)

Exponential Growth

b)

Exponential Decay

7.

Is the following function and example of decay or growth?

f(x)=2(0.85)x

a)

Exponential Decay

b)

Exponential Growth

8.

Which could represent "I start with 1000 bacteria and gain 5% every minute"

a)

B=1000(1.5)t

b)

B=1000(1.05)t

c)

B=1000(5)t

d)

None of the above

9.

Which of the following could be represented by A=200(1.1)t

a)

I started with $200 and lost 1% per week

b)

I started with $200 and lost 10% per week

c)

I started with $200 and gained 1% per week

d)

I started with $200 and gained 10% per week

10.

Which represents "I started with $700 and lost 1% every day"

a)

y=700(1.1)x

b)

y=700(1.01)x

c)

y=700(0.9)x

d)

y=700(0.99)x

11.

Which one represents exponential growth?

a)

y=700(1.1)x

b)

y=700(0.1)x

c)

y=700(0.99)x

d)

y=700(0.4)x

12.

Which represents "I started with $700 and increased it by 1% every year.

a)

y=700(1.1)x

b)

y=700(1.01)x

c)

y=700(0.99)x

d)

y=700(0.9)x

13.
Identify the common ratio (multiplier) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
14.
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?
a)
Increasing
b)
Decreasing
15.
If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?
a)
3
b)
-3
c)
1/3
d)
-1/3
16.

What is the common ratio(multiplier) for the sequence:

3, 15, 75...

a)

12

b)

1/5

c)

5

17.
How do you write 5% as a decimal?
a)
50
b)
5
c)
0.5
d)
0.05
18.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
19.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
20.

After saving money for some time, the student uses $630 to open a savings account. The savings account earns a yearly interest rate. If no more deposits are made, the amount in the account is represented by the equation A=630(1+0.012)tA=630\left(1+0.012\right)^t  , where t is in years. What does 0.012 represent?

a)

The monthly interest rate of 1.2%, written as a decimal

b)

The monthly interest rate of 12%, written as a decimal

c)

The yearly interest rate of 1.2%, written as a decimal

d)

The yearly interest rate of 12%, written as a decimal