07 - Exponential vs Linear
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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.
Cedar Grove models what type of function? Write the equation.
It has a common ________ of _____
Maple Grove models what type of function? Write the equation.
It has a common ________ of _____
If you plan on moving to a different state in 5 years which company would be the better option for you to choose.
If your plans change and you don't move, which company would be the better option to choose as a long term career?
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?
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?
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?
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?
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.
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.
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.
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.
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.
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.
Which situation could be modeled with an exponential function?
Which statement below is true about linear functions?
Given the table below, identify if it is a linear or exponential model or neither.
Given the table below, identify if it is a linear or exponential model or neither.
Given the table below, identify if it is a linear or exponential model or neither.
Determine whether the table represents an exponential growth function, and exponential decay function, or linear function.
Write an equation
Determine the value of the camper after 5 years?
Which has a RANGE of [4, inf)
What is the y-intercept of k(x)
Determine the value of x when k(x) = 6
Determine m(5) =
If f(x) = 2(2)2x and g(x) = 8(2)x, for what value of x is f(x) = g(x)?
Explain what the slope and y-intercept of f(x) mean in the given context of the question above.
