Real-World Exponential Functions: Growth and Decay Quiz

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, ∞)

• [-∞, 0)

• (0, 10)

• [0, 10]

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

• $8,874

• $10,200

• $12,000

• $15,500

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 that models the account balance over time?

• [0, ∞)

• (0, 10)

• [0, 10]

• (-∞, 0)

A tree grows exponentially, reaching a height of 2 meters in its first year and doubling its height each subsequent year. What is the range of the tree's height after 4 years?

• 32 meters

• 16 meters

• 4 meters

• 8 meters

The number of views on a viral video increases exponentially. If it starts with 500 views and doubles every day, what is the domain of the function that models the views over time?

• [-∞, 0)

• (0, 1]

• [0, ∞)

• [500, 1000]

A certain species of fish in a lake grows exponentially. If the initial population is 200 and it doubles every month, what is the range of the population after 6 months?

• 4000

• 12800

• 6400

• 25600

A new technology is adopted exponentially. If 1,000 people use it today and the number of users doubles every year, what is the domain of the function representing the number of users over time?

• The domain is the set of all integers.

• The domain is the set of negative integers.

• The domain is the set of real numbers.

• The domain is the set of non-negative integers (0, 1, 2, ...).

A savings account grows exponentially due to compound interest. If you start with $500 and it grows to $1,500 in 10 years, what is the range of the account balance?

• $500 to $1,500

• $1,000 to $2,000

• $500 to $2,000

• $0 to $500

A certain type of plant grows exponentially, reaching a height of 1 meter in its first year and doubling each year thereafter. What is the domain of the function that models the height of the plant over time?

• (-∞, 0)

• [0, ∞)

• (0, 1)

• [1, 10]

The number of subscribers to a streaming service increases exponentially. If there are currently 2,000 subscribers and the number doubles every 6 months, what is the range of subscribers after 2 years?

• 32000

• 16000

• 24000

• 40000