Exponential Growth Applications

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

How much money do you need to invest at 2.8% compounded continuously in order to have $25,500 at the end of 8 years? Round your answer to the nearest dollar

• $20,383

• $2,715

• $27,147

• $2,038

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

• $1,225,54

• $2,225.54

• $22,255.40

• $225.54

Does the following represent growth or decay?
y = 1/2(3)^x + 2

• Growth

• Decay

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.

• growth

• increase

• decay

• decrease

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.

Solve: 

• A

• B

• C

• D

Cade earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

• $827.52

• $831.10

• $839.45

• $846.80

Approximately what interest rate would be needed in order to grow and investment of $1400 to $2500 in 10 years if the interest was compound monthly?

• 5.96%

• 5.84%

• 5.81%

• 5.88%