INTERVENTION UNIT 6 TEST

Formulas

Exponential function: f(x)=a(b)^x

Exponential GROWTH Function: y=a(1+r)^t

Exponential DECAY Function: y=a(1-r)^t

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1

Which exponential function matches the values in the table below?

f(x)=x^3

f(x)=10(3)^x

f(x)=90(2)^x

f(x)=3x

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What are the next three terms in the sequence 144, 72, 36, 18, ...?

6, 4.5, 3

1.5, 0.5, -1.5

9, 4.5, 2.25

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When a ball is dropped, the function f(x) =6(0.8)^x models the ball’s height in feet after each bounce, where x is the bounce number. To the nearest hundredth, what is the height after the third bounce?

7.20 feet

3.07 feet

1.54 feet

0.72 feet

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The first term of a geometric sequence is 3 and the common ratio is 4. What is the fifth term of the sequence?

20

768

192

3,072

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Evaluate y=9(2)^x when x=3

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What is the value of x?

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The population of a town over the past 10 years can be represented with the equation y =3175(1.08)^x.
Which statement below is FALSE?

The initial population had a growth rate of 8%.

The initial population was 3,175.

At the end of the third year, the population was approximately 4,000.

At the end of the first year, the population was 3,175.

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1

Which set of ordered pairs satisfies an exponential equation?

{(1, -1), (2, -4), (3, -9), (4, -16)}

{(1, 1), (2, 8), (3, 15), (4, 22)}

{(1, 5), (3, 25), (5, 125), (7, 625)}

{(1, -2), (3, 2), (5, 6), (7, 10)}

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Select ALL expressions that equal 6 when simplified.

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Complete the table and graph the function.
Click "show your work".

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Does this function represent growth or decay?

growth

decay

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Select the correct Domain and Range for the graph below.
Select TWO:

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2

A pond has 317 fish, and the population decreases by 5% each day. Find the number of fish in the pond after 4 days.
Round to the nearest whole number.

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3

Kevin has $99 in his savings account. He is looking at two savings plans.
Under Plan A, his account balance can be represented with the equation f(t)=99+10t each year.
Under Plan B, his account balance can be represented with the equation g(t)=99(1.09)^t each year.
Complete the table then select the THREE statements that are TRUE.

The balance for Plan A will always be greater than Plan B

After 1 year both plans have the same balance

Plan B shows exponential growth

Kevin should invest in Plan B if he plans to leave his money in the account for 4 years or more.

Plan B has a bigger balance after 2 years

Plan A has a bigger balance for the first 3 years

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Describe the end behavior for the function:

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2

A scientist tracked the population of northern sea otters from 2015 to 2020. In 2015 there were 50 sea otters. According to the scientist, the population was increasing at a rate of 13% annually.
Write the function P(t) that describes the population of sea otters as a function of the number of years, t.

INTERVENTION UNIT 6 TEST

Which exponential function matches the values in the table below?

What are the next three terms in the sequence 144, 72, 36, 18, ...?

When a ball is dropped, the function f(x) =6(0.8)^x models the ball’s height in feet after each bounce, where x is the bounce number. To the nearest hundredth, what is the height after the third bounce?

The first term of a geometric sequence is 3 and the common ratio is 4. What is the fifth term of the sequence?

Evaluate y=9(2)^x when x=3

What is the value of x?

The population of a town over the past 10 years can be represented with the equation y =3175(1.08)^x. Which statement below is FALSE?

Which set of ordered pairs satisfies an exponential equation?

Select ALL expressions that equal 6 when simplified.

Complete the table and graph the function. Click "show your work".

Does this function represent growth or decay?

Select the correct Domain and Range for the graph below.Select TWO:

A pond has 317 fish, and the population decreases by 5% each day. Find the number of fish in the pond after 4 days.Round to the nearest whole number.

Describe the end behavior for the function:

Which exponential function matches the values in the table below?

What are the next three terms in the sequence 144, 72, 36, 18, ...?

When a ball is dropped, the function f(x) =6(0.8)^x models the ball’s height in feet after each bounce, where x is the bounce number. To the nearest hundredth, what is the height after the third bounce?

The first term of a geometric sequence is 3 and the common ratio is 4. What is the fifth term of the sequence?

Evaluate y=9(2)^x when x=3

What is the value of x?

The population of a town over the past 10 years can be represented with the equation y =3175(1.08)^x. Which statement below is FALSE?

Which set of ordered pairs satisfies an exponential equation?

Select ALL expressions that equal 6 when simplified.

Complete the table and graph the function. Click "show your work".

Does this function represent growth or decay?

Select the correct Domain and Range for the graph below.Select TWO:

A pond has 317 fish, and the population decreases by 5% each day. Find the number of fish in the pond after 4 days.Round to the nearest whole number.

Describe the end behavior for the function:

The population of a town over the past 10 years can be represented with the equation y =3175(1.08)^x.
Which statement below is FALSE?

Complete the table and graph the function.
Click "show your work".

Select the correct Domain and Range for the graph below.
Select TWO:

A pond has 317 fish, and the population decreases by 5% each day. Find the number of fish in the pond after 4 days.
Round to the nearest whole number.

The population of a town over the past 10 years can be represented with the equation y =3175(1.08)^x.
Which statement below is FALSE?

Complete the table and graph the function.
Click "show your work".

Select the correct Domain and Range for the graph below.
Select TWO:

A pond has 317 fish, and the population decreases by 5% each day. Find the number of fish in the pond after 4 days.
Round to the nearest whole number.