Exponential Growth and Decay Applications

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

If you have $10, and your money doubles every year, how much money will you have in 10 years?

• $50

• $100

• $5120

• $10240

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

You buy a new computer for $2100. The computer decreases by 50% annually. How much is it worth after 2 years.

• 225

• 325

• 425

• 525

Solve: 

• A

• B

• C

• D

The amount of bacteria is ​ (a)   at a rate of ​ (b)   each day.

• increasing

• 12%

• decreasing

• 88%

Is this exponential growth or decay?

• Growth

• Decay

Move each part of the equation into the table next to the term that best describes what it represents. Not all parts of the equation will be used.

• 0.04

• Initial deposit

• t

• interest rate

• (1+0.04)

• growth factor

• 3,000

• time

The table has an initial value of ​ (a)   and demonstrates exponential ​ (b)   at a factor of​ (c)   .

• 2

• growth

• 5

• -1

• 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.