Exponential Growth & Decay

• The bacteria population is decreasing by .35% each hour.

• The bacteria population is increasing by 135% each hour.

• The bacteria population is increasing by 3.5% each hour.

• The bacteria population is increasing by 35% each hour.

Answer explanation

If the initial population of a bacteria colony is 100 and it triples every day, what will be the population after 3 days?

• 300

• 900

• 2700

• 8100

• 100 bacteria

• 300 bacteria

• 900 bacteria

• 1200 bacteria

Lily sells customizable pet collars and started off only filling 20 orders per month. After promoting them on TikTok, her video went viral and order requests started tripling each month.

Which equation can she use to predict the number of orders she will receive in 2 years?

A new online game is gaining popularity among students. Initially, 50 students were playing the game. After the first week, the number of students playing increases by 6% each week.

Which function represents the number of students, S, playing the game after w weeks?

A town's water supply is decreasing due to a drought. Initially, the town had 10,000 gallons of water available. Each week, the water supply decreases by 4% due to evaporation and usage.

Which function represents how many gallons of water, G, remain after w weeks?

• 7.6%

• 1.076%

• 76%

• 24%

• .85%

• 85%

• 15%

• 8.5%