4.10 Exponential Functions Mastery Quiz

Imagine you're studying the growth of a certain bacteria population in a lab. The population doubles every hour. Which of the following equations best represents this scenario?

A scientist is conducting an experiment where the population of a bacteria culture doubles every hour. If the population of the bacteria culture is initially 1, after how many hours will the population reach 32?

Which of the following represents exponential decay in the context of a radioactive substance's half-life?

What does the population growth of a rapidly expanding city over time most likely resemble?

• A straight line that passes through the origin

• A parabola opening upwards

• A curve that gets steeper as it moves to the right

• A curve that gets less steep as it moves to the right

Imagine a bacteria culture that starts with 100 bacteria and the number of bacteria halves every hour. What is the initial number of bacteria in the culture?

• 0.5

• 50

• 100

• 200

Consider a population of bacteria that doubles every hour. Which of the following is a property of the function describing this population growth over time?

• The domain is all real numbers, and the range is all real numbers.

• The domain is all real numbers, and the range is positive real numbers.

• The domain is positive real numbers, and the range is all real numbers.

• The domain and range are both positive real numbers.

• It is a straight line over time.

• It is a constant value over time.