Search Header Logo

Exponential Evaluate

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Exponential Evaluate
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A new car cost $15,000 to build in 2010. The company’s financial analysts expect costs to rise by 6% per year . The cost to build the car can be modeled by the function f (t) = 15,000 (1.06)t , where t is the number of years after 2010. How much will it cost the company to build the car in 2017?

$22,554.45

$19,678.32

$23,907.72

45,678.91

Answer explanation

t is the number of years after 2010. So, t=2017-2010

=7. So, the exponent is 7.

1.067 = 1.06^7 . Multiply by 15000.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Evaluate the function for the given value: f(x)=53xf\left(x\right)=5^{3x}  for f(2)f\left(2\right)  

125

15625

25

30

Answer explanation

Follow order of operations. Exponents first.

f(2) indicates that x = 2

The exponent is 3x, so 3*2 = 6

The exponent is 6.

56 or 5^6

Tags

CCSS.HSF-IF.C.8B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An investment of $8000 in a certain Certificate of Deposit (CD) doubles in value every seven years. The function that models the growth of this investment is f\left(x\right)=8000\left(2\right)^{\frac{x}{7}}, where x is the number of years. If the investor does not withdraw any money from this CD, how much money will be available for withdrawal after 28 years?

$128,000

$1,024,000

$112,000

$2,147,483,648,000

Answer explanation

x=28. So, the exponent is 28/7 = 4. The exponent is 4.

24 = 2^4 = 16. Multiply by 8000.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A population of amoebas in a petri dish will triple in size every 20 minutes. At the start of an experiment the population is 800. The function f(x)=800(3)x20f\left(x\right)=800\left(3\right)^{\frac{x}{20}}  

where x is the number of minutes models this population. What would be the population of amoebas after 80 minutes?

2400

278942752100

64800

9600

Answer explanation

x=80. So, the exponent is 80/20 = 4. The exponent is 4.

34 = 3^4 = 81. Multiply by 800.

Tags

CCSS.HSF.LE.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A petri dish contains 35 bacteria. The bacteria triple every hour. The function f(x)=35(3)xf(x)=35(3)^x   models the number of bacteria present. How many bacteria are present after 4 hours?

2835

105

420

121550625

Answer explanation

x is the 4.

So, the exponent is 4.

34 = 3^4 . Multiply by 35.

Tags

CCSS.HSF.LE.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Media Image

Is the graph exponential growth or decay?

Exponential growth

Exponential decay

Tags

CCSS.HSF-IF.C.7E

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Microsoft

Continue with Microsoft

or continue with

Facebook

Facebook

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?