Exponential Growth and Decay

Front

What is the common ratio (b) in the function: f(x) = 300(1.16)^x?

Back

1.16

Front

Classify the model A=1200(0.85)^6 as Exponential GROWTH or DECAY.

Back

Decay

Tags

CCSS.HSF-IF.C.8B

Front

A population of fish starts at 8,000 and decreases by 6% per year. What is the population after 10 years?

Back

4309

Tags

CCSS.HSF-LE.A.1C

Front

Daniel’s Print Shop purchased a printer for $35,000. Each year it depreciates at a rate of 5%. What will it be worth in 8 years?

Back

$23,219.72

Tags

CCSS.HSF.BF.A.2

Front

The number of mosquitoes at the beginning of summer was 4,000. If the population grows at 25% a month, how many will there be after 4 months?

Back

9765

Tags

CCSS.HSF-LE.A.1C

Front

Define Exponential Growth.

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time.

Tags

CCSS.HSF-IF.C.8B

Front

Define Exponential Decay.

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time.

Tags

CCSS.HSF-IF.C.8B

Front

What is the formula for exponential growth?

Back

f(t) = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.

Tags

CCSS.HSF-LE.A.1A

Front

What is the formula for exponential decay?

Back

f(t) = a(1 - r)^t, where a is the initial amount, r is the decay rate, and t is time.

Tags

CCSS.HSF-IF.C.8B

Front

If a population of 1,000 doubles every 3 years, what will be the population after 9 years?

Back

8,000

Tags

CCSS.HSF.LE.A.4