FA Unit 4 Test Review

Select all of the examples of exponential growth .

• 
• 
• y = 2(3)^x

• y = 19(1/2)^x

• A golf cart costs $4200 and depreciates by 7% per year.

Select all the examples of exponential decay.

• y = 5(.88)^x

• y = 25^x

• The population of a small town is 20,172 people. The population decreases by 10% per year for 5 years.

• You put $120 into a bank account that gains 2.7% interest per year.

• y = 300(1- 0.12)^x

Write the equation & answer: A type of bacteria can double itself every hour. If there is only 1 culture to begin with, how many would there be in 1 day?

• y = 24(1)^x , 5,000

• y = 1(2)^x , 167,772,216

• 2(1x) , 48

• 1(2)x , 1,234,789

Which equation represents the following: Tony buys a work truck for his landscaping business for $16,000. It depreciates at a rate of 8% per year. What will the value of the truck be after 10 years?

• y = 8% + 11 + 16 , $0

• y = 16000(8)^x , $1200

• y = 8(16000)^x , $16,400.23

• y = 16000(.92)^x , $6950.22

Select all of the arithmetic sequences.

• 2, 4, 6, 8, 10...

• 5, 10, 20, 40...

• -10, -7, -4, -1, 2...

• 10, 20, 30, 40..

• 3, 2, 55, 11, 7...

Write the explicit formula for the sequence:

7, 13, 19, 25...

• $a_n=6+7\left(n-1\right)$

• $a_n=9n$

• $a_n=7+6\left(n-1\right)$

Write the explicit formula for the arithmetic sequence:

9, 5, 1, -3...

• $a_n=9-4\left(n-1\right)$

• $a_n=1-9\left(n-1\right)$

• $a_n=9+5\left(n-1\right)$

• $a_n=4-9\left(n-1\right)$

What are the first four terms in the sequence: $a_n=5+2\left(n-1\right)$  

• 5, 10, 15, 20

• 5, 7, 9, 11

• 2, 5, 7, 9

• 5, 2, -1, -4

Write the first four terms of the sequence:  $a_n=7-3\left(n-1\right)$  

• 4, 5, 6, 7

• -3, 4, 11, 18

• 7, 7, 7, 7

• 7, 4, 1, -2

What is the 30th term in the sequence: 3, 17, 31, 45...

• 172

• -980

• 409

• 500