Interpreting & Analyzing Exponential Functions

Multiple Choice

The table above shows how many people are infected by the flu. Select the letter that describes the pattern in the table. 

• Add 4 each day 

• Add 3 each day 

• Multiply by 3 each day

• Multiply by 4 each day

Multiple Choice

The table above shows how many people are infected by the flu. Select the letter that describes the pattern in the table. 

• Add 4 each day 

• Add 3 each day

• Multiply by 3 each day

• Multiply by 2 each day

Multiple Choice

The table above shows how many people are no long in the rock , paper, scissor contest. Select the letter that describes the pattern in the table. 

• subtract 4 each day 

• subtract 3 each day

• Divide by 4 each day

• Divide by 8 each day

Multiple Choice

The table above shows how many ants left in the colony after being treated. Select the letter that describes the pattern in the table. 

• subtract 9 each day 

• subtract 3 each day

• Divide by 9 each day

• Divide by 3 each day

Multiple Choice

The table below shows cells in a dish. x is the time in days and y is the number of cells

Is the situation as exponential growth or decay? 

• growth

• decay

Match

Identify each variable?

f(x) = ab^x

• 5

• 3

• day

• number of cells

a

b

x

f(x)

• a

• b

• x

• f(x)

Labelling

The table below shows cells in a dish. x is the time in days and y is the number of cells.

What is the equation to model the senario?

Drag labels to their correct position on the image

135

45

1

2

0

3

5

15

Fill in the Blanks

Drag and Drop

Use Desmos (Table)

The table below shows cells in a dish. x is the time in days and y is the number of cells.

When will there be 500 cells?

betweem

Placeholder

and ​

Placeholder

Drag these tiles and drop them in the correct blank above

4

5

1

2

3

6

7

8

Multiple Choice

Is the situation as exponential growth or decay? 

• growth

• decay

Multiple Choice

Which Exponential Formula?

• $$ab^x$$

• $$ab^{\frac{x}{t}}$$

• $$a\left(1+r\right)^x$$

• $$a\left(1-r\right)^x$$

Match

Identify each variable?

• 60

• .90

• number of swing

• 0

• height after swing

a

b

x

k

f(x)

• a

• b

• x

• k

• f(x)

Labelling

If a pendulum swings to 90% of its height on each swing and starts out at a height of 60 cm. What would happen after the 20th swing?What is the equation to model the senario?

Drag labels to their correct position on the image

60

?

.90

20

0

Multiple Choice

Is the situation as exponential growth or decay?

• growth

• decay

Multiple Choice

Which Exponential Formula?

• $$ab^x$$

• $$ab^{\frac{x}{t}}$$

• $$a\left(1+r\right)^x$$

• $$a\left(1-r\right)^x$$

Match

Identify each variable?

• 24

• 3

• months

• 4

• insects

a

b

x

t

f(x)

• a

• b

• x

• t

• f(x)

Labelling

An insect population triples every 4 months.  If the population started out with 24 insects, how many insects would there be in 16 months?

What is the equation to model the senario?

Drag labels to their correct position on the image

16

?

3

0

24

4

Multiple Choice

Is the situation as exponential growth or decay?

• growth

• decay

Multiple Choice

Which Exponential Formula?

• $$ab^x$$

• $$ab^{\frac{x}{t}}$$

• $$a\left(1+r\right)^x$$

• $$a\left(1-r\right)^x$$

Match

Identify each variable?

• 63000

• .03

• years

• population

• 1.03

a

r

x

f(x)

1 + r

• a

• r

• x

• f(x)

• 1 + r

Labelling

A city’s population grows by about 3% each year. If the city’s population is 63,000 people now, what will the population be in 4 years?

What is the equation to model the senario?

Drag labels to their correct position on the image

4

0

0.03

?

63,000

Drag and Drop

A city’s population grows by about 3% each year. If the city’s population is 63,000 people now, what will the population be in 4 years?

What is the simplified equation to model the senario?



f(x) = ​

Placeholder

(

Placeholder

)^x

Drag these tiles and drop them in the correct blank above

63000

1.03

0.03

1

1.3

0.97

Multiple Choice

Is the situation as exponential growth or decay?

• growth

• decay

Multiple Choice

Which Exponential Formula?

• $$ab^x$$

• $$ab^{\frac{x}{t}}$$

• $$\ a\left(1+r\right)^x$$

• $$a\left(1-r\right)^x$$

Match

Identify each variable?

• 10

• .15

• scans

• .85

• inches

a

r

x

1 - r

f(x)

• a

• r

• x

• 1 - r

• f(x)

Labelling

You want to reduce the size of picture to a place in a small frame.  You aren’t sure what size to choose on the photocopier, so you decide to reduce the picture by 15% each time you scan it until you get it to the size you want.  If the picture was 10 inches long at the start, how long is it after 3 scans?

What is the equation to model the senario?

Drag labels to their correct position on the image

?

3

0.15

0

10

Drag and Drop

You want to reduce the size of picture to a place in a small frame.  You aren’t sure what size to choose on the photocopier, so you decide to reduce the picture by 15% each time you scan it until you get it to the size you want.  If the picture was 10 inches long at the start, how long is it after 3 scans?

What is the simplified equation to model the senario?

f(x) = ​

Placeholder

(

Placeholder

)^x

Drag these tiles and drop them in the correct blank above

10

0.85

0.15

1

1.15

8.5

Multiple Choice

Is the situation as exponential growth or decay?

• growth

• decay

Multiple Choice

Which Exponential Formula?

• $$ab^x$$

• $$ab^{\frac{x}{t}}$$

• $$a\left(1+r\right)^x$$

• $$a\left(1-r\right)^x$$

Match

Identify each variable?

• 2

• 4

• months

• 6

• mice

a

b

x

t

f(x)

• a

• b

• x

• t

• f(x)

Labelling

A population of mice quadruples every 6 months. If a mouse nest started out with 2 mice, how many mice would there be after 2 years?

What is the equation to model the senario?

Drag labels to their correct position on the image

6

4

2

?

24

0

Multiple Choice

Is the situation as exponential growth or decay?

• growth

• decay

Multiple Choice

Which Exponential Formula?

• $$ab^x$$

• $$ab^{\frac{x}{t}}$$

• $$a\left(1+r\right)^x$$

• $$a\left(1-r\right)^x$$

Match

Identify each variable?

• starting

  value

• $$\frac{1}{2}$$

• $$0$$

• rounds

• teams

a

b

k

x

f(x)

• a

• b

• k

• x

• f(x)

Labelling

In sporting tournaments, teams are eliminated after they lose. The number of teams in the tournament then decreases by half with each round. If there are 16 teams left after 3 rounds, how many teams started out in the tournament?

What is the equation to model the senario?

Drag labels to their correct position on the image

16

0

3

1/2

?

Poll

My level of understanding

(left to right) NO: I don't get it at all, Whoops: need some help but I'm starting to understand, Nailed It: I can do this on my own.