Exponential Growth and Decay Compounded

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

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

What does the model P=A(1+r)^t best represent?

• Exponential growth

• Simple Interest

• Compound Interest

• Exponential Decay

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

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

• A

• B

• C

• D

Choose the correct graph for the problem situation #2.

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This is an example of.....

• exponential decay

• exponential growth

• constant change

• a linear function

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 newly launched clothing line is rapidly increasing in popularity. Every month, 20% more items of clothing are sold. If 89,090 items were sold this month, how many will be sold in 9 months from now? If necessary, round your answer to nearest whole number.

• 74,278 items.

• 11,957 items.

• 319,226 items.

• 459,685 items.