Mastering Exponential Functions: Graphs & Word Problems

Mastering Exponential Functions: Graphs & Word Problems

9th Grade

10 Qs

quiz-placeholder

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Mastering Exponential Functions: Graphs & Word Problems

Mastering Exponential Functions: Graphs & Word Problems

Assessment

Quiz

English, Mathematics

9th Grade

Hard

Created by

Anthony Clark

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

1. A bacteria culture doubles in size every hour. If the initial population is 100, what is the domain of the function representing the population over time?

[0, ∞)

(-∞, 0)

[100, ∞)

[0, 24]

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

$12,000

$8,874

$10,200

$15,500

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

3. A bank offers an account that compounds interest exponentially. If you deposit $1,000 at an interest rate of 5% per year, what is the domain of the function representing your balance over time?

(0, 1)

(-∞, 0)

[0, ∞)

[1, 10]

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

4. A certain species of fish in a lake grows exponentially. If the population starts at 50 and doubles every month, what is the range of the population after 6 months?

1600

4000

800

3200

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

5. A tree grows exponentially, reaching a height of 2 meters in its first year and doubling its height each subsequent year. What is the domain of the function that models the height of the tree?

The domain is the set of all integers (0, 1, 2, ...).

The domain is all real numbers.

The domain is the set of positive integers (1, 2, 3, ...).

The domain is the set of negative integers (-1, -2, -3, ...).

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6. A city’s population is modeled by the function P(t) = 5000e^(0.03t), where t is the number of years since 2000. What is the range of this function for t between 0 and 20?

[6000, 9000]

[5000, 9110.5]

[5000, 10000]

[4000, 8000]

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

7. A radioactive substance decays exponentially. If you start with 80 grams and it loses half its mass every 3 years, what is the domain of the function representing the remaining mass over time?

(0, 3)

[0, ∞)

[3, 80]

(-∞, 0)

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