Exponential Equations and Applications

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

You invest $400 for 5 years and the interest rate is 4.29% each year. Write the equation that models this situation.  

• y=400(1 - 0.0429)⁵
• y=400(1+.0429)⁵
• y=400(1+ 4.29)⁵
• y=400e^0.049*5

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x
• y=15,000(1 + .08)^x
• y=15,000(1 - .08)^x
• y=15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

y= 25,000(1.5)^x is the equation given.  What is the percent rate?

• 5%
• 1.5%
• 50%
• 150%

Tags

CCSS.HSF-IF.C.8B

Ava is playing a video game in which she establishes and builds up a city. The population of this city is currently 190,000 people, a number that increases by 15% every year. What will the population be in 9 years?

• 666,666
• 666,936
• 668,396 
• 668,369

Tags

CCSS.HSF-LE.A.1C

What is the balance of a $4500 bond that earns 6.5% interest when compounded annually after 3 years?

• $5435.77
• $5400
• $5377.50
• $5300

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?

• 356 people

• 265 people

• 5825 people

• 1329 people

Tags

CCSS.HSF.BF.A.2

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9784 mosquitoes

• 9006 mosquitoes

• 9765 mosquitoes

• 5433 mosquitoes

Tags

CCSS.HSF.BF.A.2

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

• $12712.31
• $12,749.30
• $12,657.59
• $12550.84