Exponential Growth and Decay Quiz Review

Jay'Veon tests his swimming pool and discovers harmful bacteria. Chris continues testing his pool and finds that the ratio of bacteria to water double every hour. What type of change is this?

• linear growth

• linear decay

• exponential decay

• exponential growth

Analyze the equation y = 300(1 - x)^3 and determine if it represents exponential growth, exponential decay, or neither.

• Exponential growth

• Exponential decay

• Neither

Does the equation y = 500(1.2)^x represent exponential growth, exponential decay, or neither?

• Exponential growth

• Exponential decay

• Neither

Determine whether the equation y = 400(1.2)^x represents exponential growth, exponential decay, or neither.

• Exponential growth

• Exponential decay

• Neither

Garrett owns a small pond. In his small pond, the population of frogs is decreasing. If there are 800 frogs in the pond in 2020 and their population reduces by half each year, which table represents the predicted frog population in the pond over the next five years?

• Year: 2020, 2021, 2022, 2023, 2024, 2025 Population: 800, 400, 200, 100, 50, 25

• Year: 2020, 2021, 2022, 2023, 2024, 2025 Population: 800, 1200, 1600, 2000, 2400, 2800

• Year: 2020, 2021, 2022, 2023, 2024, 2025 Population: 800, 1600, 3200, 6400, 12800, 25600

• Year: 2020, 2021, 2022, 2023, 2024, 2025 Population: 800, 1000, 1200, 1400, 1600, 1800

Fill in the blank: The function y = 500(1.5)^x describes ______.

• Exponential growth

• Exponential decay

• Neither

Fill in the blank: The equation y = 1000(1.1)^x represents ______.

• Exponential growth

• Exponential decay

• Neither

Identify the type of function: The equation y = 150(1.2)^x represents ______.

• Exponential growth

• Exponential decay

• Neither

Fill in the blank: The equation y = 50(0.9)^x represents ______.

• Exponential growth

• Exponential decay

• Neither

Fill in the blank: The function y = 500(0.8)^x describes ______.

• Exponential growth

• Exponential decay

• Neither