Exponential Word Problems Compounding

Miguel had 25 bacteria in his petri dish at 2 PM. There were 72 in the dish at 2:30 PM. Assuming exponential growth, at what rate are they increasing?

• 9.6% per minute

• 0.03526% per minute

• 35.26% per minute

• 3.526% per minutes

The population of Guyana was roughly 787,000 in 2020 and 747,000 in 2000. If the population is growing exponentially, what is the rate of growth?

• 0.002608

• 0.00113

• 0.0527

• .2608

If a population of 300 animals in a certain region is growing exponential at 2% per year, when will the population reach 400?

• 14.4 years

• 15 years

• 6.2 years

• 20 years

• Exponential growth of 75%

• Exponential decay of 75%

• Exponential growth of 25%

• Exponential decay of 25%

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

y = ​ (a)   ( 1 ​ (b)   ​ (c)   )^x (^ means to power of x - x is the exponent)

• 400

• +

• 0.03

• 3

• 0.3

• 0.97

• 4

Eduardo currently has 500 followers on TikTok. He makes a video after the basketball game and it goes viral! Since he became internet famous, the number of followers is increasing by 25% daily. Write an exponential function that represents the relationship between x, the number of days since Eduardo posted the video and y, the total number of followers Eduardo has.

Mathematical Equivalence

ON

Tags

AI.9.9.C

Using this equation above where the time is in hours, which of the following are true? Select all that apply.

• The half-life is 23 hours.

• The start amount is 64.

• The equation represents exponential growth.

• r will be a negative number.

• The half-life is 32 hours.

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 4 people.

• 22,972 people.

• 1,169,030 people.

• 1,188,311 people.

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

• y = 30,010 (.05)^x

• y = 30,010 (1.05)^x

• y = 30,010 (.95)^x

• y = 30,010 (5)^x

Find the balance in an account that has $300 invested at 6.5% for 4 years compounded semi-annually.

• $387.47

• $496.50

• $7,800.00

• $385.94