Unit 4 Lesson 11

The number of people who carry cell phones increases by 29% each year. In 2002, there were 180 million cell phone users.

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

Write an equation to model the number of people with cell phones after 2002 in the format:

y = a(b)^t

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

(syntax: include space before and after "=" sign in equation)

Answer explanation

Final= y

Initial= 180

Rate= 1 + 29/100= 1.29

Time= t

The number of people who carry cell phones increases by 29% each year. In 2002, there were 180 million cell phone users.

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

y = 180(1.29)^t

Find the approximate number of cell phone users in 2010.

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

(round your answer appropriately)

Answer explanation

Final= ?

Initial= 180

Rate= 1 + 29/100= 1.29

Time= 2010 - 2002

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

Round down because cannot have a decimal of a person

Consider the sequence: 4, 8, 16, 32, ...

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

Is the sequence geometric?

• Yes

• No

Answer explanation

Geometric sequence= terms related by multiplication via a common ratio

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

Arithmetic sequences=terms related by addition via a common difference

Consider the sequence: 4, 8, 16, 32, ...

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

What is the common ratio?

Mathematical Equivalence

ON

Consider the sequence: 4, 8, 16, 32, ...

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

What is the 5th term?

Mathematical Equivalence

ON

Consider the sequence: 4, 8, 16, 32, ...

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

What is the 6th term?

Mathematical Equivalence

ON

Consider the sequence: 3, 6, 9, 12, ...

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

Is the sequence geometric?

• Yes

• No

Answer explanation

Geometric sequence= terms related by multiplication via a common ratio

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

Arithmetic sequences=terms related by addition via a common difference

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

1st= 3

2nd= 3 + 3= 6

3rd= 6 + 3= 9

4th= 9 + 3= 12

Consider the sequence: 100, 50, 25, ...

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

What is the common ratio?

Mathematical Equivalence

ON

Consider the sequence: 100, 50, 25, ...

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

What type of pattern does this represent?

• Exponential

  Growth

• Exponential

  Decay

Consider the sequence: 100, 50, 25, ...

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

What is the domain for the sequence?

• (0, ꝏ)

• (1, ꝏ)

• (-ꝏ, ꝏ)

• (-ꝏ, 100)

• (100, 0)

Answer explanation

Domain= term positions

(lowest x, highest x)

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

Range= term values

(lowest y, highest y)