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Graphing and Interpreting Exponential Growth Scenarios

Authored by Anthony Clark

English, Mathematics

9th Grade

Graphing and Interpreting Exponential Growth Scenarios
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

1. A population of bacteria doubles every 3 hours. If the initial population is 100, what is the domain of the function representing the population over time?

[0, 24]

[100, ∞)

(-∞, 0)

[0, ∞)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2. The value of a car decreases exponentially over time. If a car is worth $20,000 today, and it loses 15% of its value each year, what is the range of the car's value after 5 years?

$5,000.00

$15,000.00

$12,000.00

Approximately $8,874.07

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

3. A bank offers an account that compounds interest annually at a rate of 5%. If you deposit $1,000, what is the domain of the function that models the account balance over time?

{0, 1, 2, ...}

{0, 0.5, 1, ...}

{0, 1, 2, 3, 4, 5}

{1, 2, 3, ...}

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

4. A certain species of fish in a lake grows exponentially. If the fish population is modeled by the function P(t) = 50e^(0.3t), where t is time in years, what is the range of this function?

[0, ∞)

(50, ∞)

(0, ∞)

(0, 50)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

5. A researcher is studying the spread of a virus. The number of infected individuals can be modeled by the function I(t) = 200e^(0.5t). What is the domain of this function?

[0, ∞)

(0, 100)

(-∞, 0)

[100, 200]

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6. A tree's height can be modeled by the function H(t) = 10(2^t), where t is the number of years since it was planted. What is the range of this function?

(0, ∞)

(10, 20)

[0, 10]

(-∞, 0)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

7. A company’s profit can be modeled by the function P(t) = 500(1.1^t), where t is the number of years since the company started. What is the domain of this function?

(0, 10)

[0, ∞) or t >= 0

[10, 20]

(-∞, 0)

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