F-LE Linear, Quadratic & Exponential Models (Math 1 EOC Review)

Answer explanation

As seen in the graph, f(x) red graph is when the curve starts to overlap and exceed g(x) blue graph.

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• 4

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Answer explanation

The graph shows that when x>3.8 or approximately 4, the curve g(x) grow rapidly than or exceeds the line f(x).

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

As x increases, which table represents a function that will eventually exceed all others?

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Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Emma and Maddie each deposit $50 into bank accounts at the same time.

• The amount in Emma’s account grows by $5 each month.

• The amount in Maddie’s account grows by 7% each month.

After how many months will the amount in Maddie’s account first exceed the amount in Emma’s account?•

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Jamal is offered two jobs. The first job offers a starting salary of $25,000 that increases by $800 each year he is with the company. The second job offers a starting salary of $23,000 that increases by 3.2% each year he is with the company. After how many years will the salary of the second job surpass the salary of the first?

• A. 8

• B. 15

• C. 16

• D. 22

• 60

• 65

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Michael and Andre's grandparents started saving for college in 2017.

• Michael's college fund can be modeled by the function f(x) = 500x +2,500, where x is the number of years since 2017.

• Andre's college fund can be modeled by the function g(x) = 2,500 (1.1) , where x is the numbers of years since 2017.

What will be the first year that Andre's college fund has a larger value than Michael's college fund? Record the year in a four digit format.

• A linear function models this situation, because the number of deer increases by a constant number each year.

• A linear function models this situation, because the number of deer increases by a constant percent rate each year.

• An exponential function models this situation, because the number of deer increases by a constant number each year.

• An exponential function models this situation, because the number of deer increases by a constant percent rate each year.

Which situation is modeled by a linear function?

• A car depreciates at a rate of 12% per year.

• A savings account earns 3.8% interest per year.

• A company withholds 15% of its employees’ salaries for taxes.

• The number of teams remaining in a tournament is halved after each round.

Tags

CCSS.8.F.A.3

• constant

• exponential

• linear

• quadratic

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2