Continuous Compounding Word Problems

• Exponential growth of 75%

• Exponential decay of 75%

• Exponential growth of 25%

• Exponential decay of 25%

• 4.84

• 5.71

• 1.32

• 3.84

• 5.00 minutes

• 7.87 minutes

• 10.24 minutes

• 12.33 minutes

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

Which expression does NOT represent exponential decay?

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

A new computer continuously loses about 45% of its value each year. If Monique spent $1600 on her computer, how much will it be worth in 5 years?

• $1420.00

• $146.31

• $65.61

• $168.64

• 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.

Without doing any calculations, which one will increase the fastest?