Expone
ntial
Growth
&
Decay
100

what does the vaule "a" represent?

What is the initial value

100

what does the variable "r" represents?

What is the growth rate?

100

what does the exponent "t" represent?

what is time?

100

what does increase mean?

what is growth?

100

what does decrease mean?

what is decay?

200

A bacteria culture starts with 100 bacteria and grows by 20% every hour. How many bacteria will there be after 4 hours? 

Write an equation that represents this problem.

what is 100(1.20)^4

200

A savings account starts with $300 and earns 5% interest annually. How much money will be in the account after 4 years?

write an equations that represents this problem.

what is y=300(1.05)^4

200

A phone is worth $600 and loses 10% of its value each year. What will it be worth after 2 years?

write and equation that represents this problem.

what is y=600(0.90)^2

200

A medicine starts with 200 mg and decreases by 20% each hour. How much remains after 3 hours? 

write an equation that represents the problem.

what is y=200(0.80)^3

200

A rabbit population starts with 50 rabbits and grows by 15% each month. How many rabbits will there be after 5 months?

what is y=50(1.15)^5

300

A phone costs $1,000 and loses 15% of its value each year. What will it be worth after 4 years?

write an equations that represents the problem.

what is y=1000(0.85)^4

300

A savings account starts with $500 and earns 6% interest each year. How much money will be in the account after 5 years?

write an equation that represents the problem.

what is y=500(1.06)^5

300

A town has 2,500 residents and grows by 12% each year. What will the population be after 3 years?

write an equation that represents the problem?

what is y=2,500(1.12)^3

300

A medicine starts with 300 mg and deceases by 20% every hour. How much remains after 6 hours?

write an equations that represents problem.

what is y=300(0.80)^6

300

A car worth 28,000 depreciates by 18% each year. What will its value be after 7 years?

write an equation that represents the problem.

what is 28000(0.82)^7

400

A bacteria colony starts with 150 bacteria and increases by 30% every hour. How many bacteria will there be after 4 hours?

write an equations that represents the problem.

what is y=150(1.30)^4

400

An investment begins with $4,500 and grows by 9.5% annually. What will it be worth after 10 years?

write an equations that represents the problem

what is 4500(1.095)^10
400

A radioactive sample has 900 grams and loses 22% of its mass each day. How much remains after 8 days?

write an equations that represents the problem.

what is y=900(0.78)^8

400

A city’s population is 12,000 people and increases by 7.5% each year. What will the population be after 12 years?

write an equations that represents the problem.

what is y=12000(1.075)^12

400

An insect population starts at 5,000 insects and decreases by 11% each month. What will the population be after 15 months?

write an equations that represents the problem.

what is y=5000(0.89)^15

500

A company starts with 2,000 customers. Each year the number of customers increases by 125% of the previous year’s amount. How many customers will there be after 6 years?

write an equations that represents the problem.

what is y=2000(2.25)^6

500

A radioactive sample retains only 72% of its mass each day. If it starts with 1,500 grams, how much remains after 12 days?

write an equations that represents the problem.

what is y=1500(0.72)^12

500

A bacteria culture begins with 80 bacteria and grows by 42% every hour. How many bacteria will there be after 18 hours?

write an equations that represents the problem.

what is y= 80(1.42)^18

500

A vehicle loses one-fourth of its value each year. If its initial value is $40,000, what will it be worth after 9 years?

write an equations that represents the problem.

what is y= 40000(0.75)^9
500

A population of fish starts at 8,000 fish. Every year, 93% of the population survives. What will the population be after 20 years?

write an equations that represents the problem.

what is y=8000(0.93)^20