Write an exponential function to model the situation. Solve. The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

C(t) = 12000(1.06) t ; C(4) = $15,149.72

C(t) = 12000(1.06) t ; C(4) = $3149.72

C(t) = 12000(.06) t ; C(4) = $3,149.72

C(t) = 12000(.06) t ; C(4) = $1,472.95

What type of pattern do exponential functions have?

Multiplies or divides by the same number every time

Adds or subtracts by the same number every time

What type of pattern do linear functions have?

Adds or subtracts by the same number every time

Multiplies or divides by the same number every time

The amount of ants in a colony can be modeled by the equation $$f\left(x\right)=400\left(.8\right)^x$$ , where x is the number of years since the colony was discovered. What does the number 400 mean in the situation?

There were 400 ants in the colony when it was initially discovered.

Each year there are 400 more ants in the colony.

The number of ants in the colony is being multiplied by 400 each year.

The ant colony will be empty in 400 years.

The amount of ants in a colony can be modeled by the equation $$f\left(x\right)=400\left(.8\right)^x$$ , where x is the number of years since the colony was discovered. What does the number .8 mean in the situation?

The number of ants in the colony is being multiplied by .8 each year.

The number of ants in the colony is being divided by .8 each year.

The ant colony doubles in size every .8 years.

There were .8 ants in the colony when it was initially discovered.

Exponential function Practice 2

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSF.LE.A.2, HSF-IF.C.8B, HSF.LE.B.5

+4

Standards-aligned

Heather Trumpy

Used 1+ times

FREE Resource

25 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Tags

CCSS.HSF.LE.B.5

2.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Tags

CCSS.HSF-IF.C.8B

3.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Tags

CCSS.HSF-IF.C.8B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A small private school with a graduating class of 40 students in the year 2019 predicts that its graduating class will increase by 5% each year.
What function best represents this situation?

Tags

CCSS.HSF.LE.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$5,368,709.12

$10,737,418.24

$1,073,741,824

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is the pictured graph growth, decay, or linear or none?

Exponential Growth

Exponential Decay

Linear

None

Tags

CCSS.HSF-IF.C.7E

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Pick the equation that is exponential growth

y=2(0.5)^x

y = 0.5(2)^x

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Exponential function Practice 2

25 questions

A small private school with a graduating class of 40 students in the year 2019 predicts that its graduating class will increase by 5% each year.
What function best represents this situation?

Is the pictured graph growth, decay, or linear or none?

Pick the equation that is exponential growth

In an exponential function, what does the 'a' represent? "a" is sometimes referred to as the initial value, but where would it appear on a graph?

What is the common ratio for the sequence:
64, 48, 36, 27...

What is the common ratio for the sequence:
3, 15, 75...

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Exponential function Practice 2

25 questions

A small private school with a graduating class of 40 students in the year 2019 predicts that its graduating class will increase by 5% each year.What function best represents this situation?

Is the pictured graph growth, decay, or linear or none?

Pick the equation that is exponential growth

In an exponential function, what does the 'a' represent? "a" is sometimes referred to as the initial value, but where would it appear on a graph?

What is the common ratio for the sequence:64, 48, 36, 27...

What is the common ratio for the sequence:3, 15, 75...

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

A small private school with a graduating class of 40 students in the year 2019 predicts that its graduating class will increase by 5% each year.
What function best represents this situation?

What is the common ratio for the sequence:
64, 48, 36, 27...

What is the common ratio for the sequence:
3, 15, 75...