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07 - Exponential vs Linear

Last updated almost 5 years ago

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Question 1

1.

Complete the table below for the following job offers. Then answer questions 2-5.

After graduation, you are offered two jobs. Cedar Grove Associates offered to start you at $30,000 with a 6% increase per year. Maple Grove Associates offered to start you at $40,000 with a $1200 raise per year. Compare the two jobs offered by completing the table below.

Question 2

2.

Cedar Grove models what type of function? Write the equation.

It has a common ____ of _

Question 3

3.

Maple Grove models what type of function? Write the equation.

It has a common ____ of _

Question 4

4.

Question 5

5.

Question 6

6.

A company is struggling financially at the moment.
A new employee is shown the salary schedule and is
given the equation y = (25,000)(0.99) 15 .

What does 25,000 refer to in this situation?

Question 7

7.

A company is struggling financially at the moment.
A new employee is shown the salary schedule and is
given the equation y = (25,000)(0.99) 15 .

What does the 0.99 refer to in this situation?

Question 8

8.

A person is keeping track of the height
of a tree in their backyard.
The height is modeled by the equation
y = 4.5x + 18 , where x represents the
number of months and y represents
the height, in inches.

What does 4.5 refer to in this situation?

Question 9

9.

A person is keeping track of the height
of a tree in their backyard.
The height is modeled by the equation
y = 4.5x + 18 , where x represents the
number of months and y represents
the height, in inches.

What does the 18 refer to in this situation?

Question 10

10.

Question 11

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Question 12

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Question 13

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Question 14

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Question 15

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Question 16

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Question 17

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Question 18

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Question 19

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Question 20

20.

1

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Question 22

22.

Write an equation

1

1

Question 24

24.

Which has a RANGE of [4, inf)

1

1

1

Question 28

28.

If f(x) = 2(2)2x and g(x) = 8(2)x, for what value of x is f(x) = g(x)?

Question 29

29.

Question 30

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Question 31

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Question 32

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Question 33

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Question 34

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Question 35

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Question 36

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Question 37

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Question 38

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Question 39

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Question 40

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Question 41

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Question 42

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Question 43

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Question 44

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Question 45

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Question 46

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Question 47

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Question 48

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Question 49

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Question 50

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Question 51

51.

Question 52

52.

Question 53

53.

Explain what the slope and y-intercept of f(x) mean in the given context of the question above.

If you plan on moving to a different state in 5 years which company would be the better option for you to choose.

Maple Grove

Cedar Grove

If your plans change and you don't move, which company would be the better option to choose as a long term career?

Maple Grove

Cedar Grove

Given the situation below, identify if it is a linear or exponential model or neither.

A savings account that starts with $5000 and receives a deposit of $825 per month.

Linear

Exponential

Neither

Given the situation below, identify if it is a linear or exponential model or neither.

The value of a house that starts at $150,000 and increases by 1.5% per year.

Linear

Exponential

Neither

Given the situation below, identify if it is a linear or exponential model or neither.

Tina owns 4 rabbits.  She expects them to double each year.

Linear

Exponential

Neither

Given the situation below, identify if it is a linear or exponential model or neither.

The cost of operating Jelly's Doughnuts is $1600 per week plus $.10 to make each doughnut.

Linear

Exponential

Neither

Given the situation below, identify if it is a linear or exponential model or neither.

The value of John's car that depreciates 20% per year.

Linear

Exponential

Neither

Given the situation below, identify if it is a linear or exponential model or neither.

The height of a ball that is thrown in the air.

Linear

Exponential

Neither

Which situation could be modeled with an exponential function?

 the amount of money in Suzy's piggy bank which she adds $10 each week

the amount in a certificate of deposit that gets 4% interest each year

the amount of money in a saving account where $150 is deducted every month

the amount of money in a saving account where $150 is deducted every month

Which statement below is true about linear functions?

Linear functions grow by equal factors over equal intervals.

Linear functions grow by equal differences over equal intervals

Linear functions grown by equal differences over unequal intervals

Linear functions grow by unequal factors over equal intervals

Given the table below, identify if it is a linear or exponential model or neither.

Linear

Exponential

Neither

Given the table below, identify if it is a linear or exponential model or neither.

Linear

Exponential

Neither

Given the table below, identify if it is a linear or exponential model or neither.

Linear

Exponential

Neither

Question 21

21.

Question 23

23.

Determine the value of the camper after 5 years?

Question 25

25.

What is the y-intercept of k(x)

Question 26

26.

Determine the value of x when k(x) = 6

Question 27

27.

Determine m(5) =

Determine whether the table represents an exponential growth function, and exponential decay function, or linear function.  

Exponential Growth

Exponential Decay

Linear