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Copy of ALGEBRA 1 - UNIT 5 - EXPONENTS AND EXPONENTIAL FUNCTION - EXAM (8/9/2024)

Last updated over 1 year ago
16 questions
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LEVEL 2

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LEVEL 2

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LEVEL 2
Write 2,700,002,700,000 in Scientific Notation.

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LEVEL 2
SHOW YOUR WORK.

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LEVEL 2
SHOW YOUR WORK

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LEVEL 2
Which function has the greatest growth rate?

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LEVEL 2

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LEVEL 2

SHOW YOUR WORK.

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LEVEL 2

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LEVEL 2
Which exponential decay function has the slowest rate of decay?

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LEVEL 3
A house was valued at $287,000 at the beginning of an economic recession. The house depreciated in value at a rate of 6% per year over several years. The value of the house,
"v" after "t" years can be modeled by the function:
Part A: What is the value of "b"?
Part B: If the value of the house continues to depreciate at the same rate each year, which function models the value of the house after "t" years.
SHOW YOUR WORK.

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LEVEL 3
Julio is training to run a race. He wants to increase his distance by the same rate each week. During the first week, he runs 1.5 miles on each of the days he trains. During the second week, he increases his distance to 2.25 miles for each day he trains, and during the third week, he increases his distance to 3.375 miles for each day he trains.

Part A: What is the growth rate of the number of miles Julio runs in a day from week to week?
Part B: If the increase in the number of miles Julio runs continues at this same rate each week, which function models the number of miles Julio runs per day after "x" weeks?
SHOW YOUR WORK.

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LEVEL 4
Three hundred people see a video and share it on social media. Each time 1 person shares the video, it is shared 100 more times. This can be modeled by the function:

where "x" is the number of the rounds sharing.
Part A: What is the value of "a" ?
Part B: What is the value of "b" ?
Part C: How many times will the video be shared by the third round of sharing?
SHOW YOUR WORK.

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LEVEL 4
A city with a population of 10,000 (about the seating capacity of Cameron basketball stadium at Duke University) people has a growth rate of 1.07 from generation to generation and can be modeled by the function:

where "t" represents the number of generations.
Part A: What is the value of "a" ?
Part B: What is the value of "b" ?
Part C: What will the population in the second generation be, if equal numbers of people move in and out?
SHOW YOUR WORK

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LEVEL 4
Create a problem which uses the Product of Powers Property, and which simplifies to:

SHOW YOUR WORK.