Growth and Decay Exponential Functions

Does the function represent a growth or decay function?

• Exponential GROWTH

• Exponential DECAY

There is a culture of bacteria that begins with 5000 cells and dies by 30% each year. Write an exponential model to represent the situation.

• y = 5000(0.70)^x

• y = 30(5000)^x

• y = 5000(1.30)^x

• y = 5000x^x

The population of mosquitoes at the beginning of the summer is 4000. The population grows at a rate of 25% a month. How many will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

What type of function is y = 7(5/4)^x?

• Exponential GROWTH

• Exponential DECAY

• Linear

• Not a function

Is y = 5(1.04)^x growth or decay?

(a)  

• Growth

• Decay

Tags

NC.M1.A-SSE.1.a

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

• 4
• 3/4
• 4/3
• 3

• A

• B

• C

• D

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.

This is an example of.....

• exponential decay

• exponential growth

• constant change

• a linear function