Exponentials' Quiz 1 Review

Does this graph show an arithmetic or a geometric sequence?

• Arithmetic
• Geometric
• Neither
• Both

Does this function represent exponential growth or exponential decay?

• Exponential Growth by 40%

• Exponential Decay by 60%

• Exponential Growth by 60%

• Exponential Decay by 40%

• Exponential Decay by 4%

Given the function  $y=3\left(2\right)^x$  , fill in the blank in the table  when  $x=5$  .

• 96

• 7776

• 30

•  $-30$  

What is the percent rate of change of this function?

• 125%

• 25%

• 4%

• 400%

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value of the car after 7 years, rounded to the nearest cent.

• $800

• $8367.70

• $6600

• $25,707.36

What is the RECURSIVE formula that represents the pictured sequence?

• $a_n=4\left(1\right)^{\left(n-1\right)}$

• $a_n=4a_{\left(n-1\right)}$

• $a_n=1+4\left(n-1\right)$

• $a_n=3a_{\left(n-1\right)}$

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

What is the RECURSIVE formula that represents the pictured sequence?

• $a_n=1\left(3\right)^{\left(n-1\right)}$

• $a_n=1+3\left(n-1\right)$

• $a_n=3n$

• $a_n=3a_{\left(n-1\right)}$

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(0.14)^x

• y = 6(1 + 14)^x

• y = 6(1.14)^x

• y = 6(0.86)^x

The equation

 $y=100\left(1.05\right)^t$  represents the number of flies in an experiment, where y is the total number after t days.  How many flies would there be after two weeks?

• 198

• 170

• 105

• 110