Exponentials and Sequences Review

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

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?

• 9700

• 9006

• 9766

• 5433

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(1 - 14)^x

• y=6(1 + 14)^x

• y=6(1 + 0.14)^x

• y=6(1 - 0.14)^x

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

• f(x)=400(1 + 0.3)^x

• f(x)=400(1 - 0.03)^x

• f(x)=400(1 + 0.03)^x

• f(x)=400(1 - 0.3)^x

Which sentence is true about the sequence below?

5, 20, 80, 320,...

• It is geometric and r = 4

• It is geometric and d = 4

• It is arithmetic and r = 4

• It is arithmetic and d = 4

Which sentence is true about the sequence below?

-6, -2, 2, 6,...

• It is geometric and r = 4

• It is geometric and d = 4

• It is arithmetic and d = 4

• It is arithmetic and r = 4

What is the explicit rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1
• a_n = 11x2
• a_n = 11(2)^n-1

Tags

CCSS.HSF.LE.A.2

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

• 2
• 4
• (2)^x
• 8

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

Which does y= 2(.5)^x represent?

• Exponential Growth

• Exponential Decay

Tags

CCSS.HSF-IF.C.8B