Exponential Growth and Decay Rate

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 inches and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6+14x
• y=6(1.14)^x
• y=6(0.86)^x

The following function represents a bank account. 
g(x) = 200(1.25)^x
What was the initial dollar amount put in the bank?

• $200
• $1.25
• $0.25
• $2.00

Make the percent to decimal.
245%

• .245
• 0.245
• 2.45
• 24.5

Make the percent to decimal.
7.25%

• 7.25
• 72.5
• 0.725
• 0.0725

Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year.  What is the equation that models this problem for the value of the vehicle in 3 years?

• y= 7650(.14)³
• y= 7650(.86)³
• y= 7650(-.14)³
• y= 7650(1.14)³

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1.3)^x
• f(x)=400(.97)^x
• f(x)=400(1.03)^x
• f(x)=400(0.03)^x

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?

• 9766
• 9006
• 9765
• 5433

Tags

CCSS.HSF.BF.A.2

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
• 265
• 5825
• 1329

Tags

CCSS.HSF.BF.A.2

What is f(2) for  of the function?

• 12
• 5
• 4.5
• 6