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07 - Exponential vs Linear

Last updated over 4 years ago
53 questions
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.

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


It has a common ________ of _____

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


It has a common ________ of _____

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

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

1

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?

1

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?

1

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?

1

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?

1

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.

1

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.

1

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.

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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.

1

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.

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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.

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Which situation could be modeled with an exponential function?

1

Which statement below is true about linear functions?

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

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

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

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

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Write an equation

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Determine the value of the camper after 5 years?

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Which has a RANGE of [4, inf)

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What is the y-intercept of k(x)

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

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Determine m(5) =

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

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