Exponential Functions, Growth, and Decay

Classify the model as Exponential GROWTH or DECAY.

A=10(1.01)3

• Growth

• Decay

Which formula should be used whem computing a compound continuously exponential problem

• A = P (1 + r) ^t

• A= Pe^rt

• A = PxRxT

• A = e^prt

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $2,225.54

• $1,225.54

• $22,255.40

• $3,225.54

A population of fish starts at 8,000 and decreases by 6% per year. What is the approximate population of fish after 10 years?

• 839

• 4309

• 14327

• 7680

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

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Is the pictured graph exponential growth, exponential decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Emily is culturing bacteria that have a growth rate of 5% per hour. If the current population is 36,000 bacteria, how many bacteria will there be in 12 hours? If necessary, round your answer to the nearest whole number.

• 8,789,062 bacteria.

• 19,452 bacteria.

• 61,572 bacteria.

• 64,651 bacteria.

• A

• B

• C

• D

Is the pictured graph growth, decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None