Unit 5 Lesson 8

Match the graph with its proper function:

• y = 25(⅕)^x

• 
• y = -2x + 7

• 
• y = 2(5/2)^x

• 
• y= 5x

• 

Answer explanation

Strategy: Decide the following

(1) Linear vs Exponential?

(2) Y-intercept

(3) Increase vs Decrease

Emily was given $600 for her high school graduation. She invested it in an account that earns 2.4% interest per year. If she does not make any deposits or withdrawals, which expression can be used to determine the amount of money that will be in the account after 4 years?

• 600(1 + 0.24)⁴

• 600(1 - 0.24)⁴

• 600(1 + 0.024)⁴

• 600(1 - 0.024)⁴

Answer explanation

Exponential growth

----- ----- ----- -----

final = y

initial = 600

rate = 1 + r = 1 + 2.4% = 1.024

time = 4

----- ----- ----- -----

y = 600(1 + 0.024)⁴

A population of mice begins with 3 mice. The population doubles every day as follows:

3, 6, 12, 24, 48, ...

What is the common difference or common ratio?

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Answer explanation

Common ratio of 2

----- ----- ----- -----

Multiplication joins terms

A population of mice begins with 3 mice. The population doubles every day as follows:

3, 6, 12, 24, 48, ...

What is the type of sequence? Type of function?

• Arithmetic &

  Linear

• Arithmetic &

  Exponential

• Geometric &

  Linear

• Geometric &

  Exponential

Answer explanation

Common ratio of 2

----- ----- ----- -----

Multiplication joins terms

----- ----- ----- -----

Arithmetic Sequence

Exponential Function

A population of mice begins with 3 mice. The population doubles every day as follows:

3, 6, 12, 24, 48, ...

What are the next four terms?

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Answer explanation

Common ratio of 2

----- ----- ----- -----

Multiplication joins terms

----- ----- ----- -----

48×2 = 96

96×2 = 192

192×2 = 384

384×2 = 768

Sequence terms: 5, 8, 11, ...

Determine the type of sequence and function for this pattern.

• Arithmetic &

  Linear

• Arithmetic &

  Geometric

• Geometric &

  Linear

• Geometric &

  Exponential

Answer explanation

Common difference

----- ----- ----- -----

Addition joins terms

----- ----- ----- -----

Arithmetic Sequence

Linear Function

Sequence terms: 5, 8, 11, ...

What are the next four terms?

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Answer explanation

Common difference

----- ----- ----- -----

Addition joins terms

----- ----- ----- -----

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

20 + 3 = 23

Sequence terms: 81, 27, 9, ...

Determine the type of sequence and function for this pattern.

• Arithmetic &

  Linear

• Arithmetic &

  Geometric

• Geometric &

  Linear

• Geometric &

  Exponential

Answer explanation

Common ratio of

----- ----- ----- -----

Addition joins terms

----- ----- ----- -----

Arithmetic Sequence

Linear Function

Sequence terms: 81, 27, 9, ...

What are the next four terms?

Evaluate responses using AI:

OFF

Answer explanation