Exponential Decay Practice

Front

What is the decay rate if the decay factor is 0.65?

Back

35%.

Tags

CCSS.HSF-IF.C.8B

Front

Estimate the population of Puerto after 40 years if it starts with 3,370,000 people and decreases at a rate of 4.5%.

Back

534,275.

Tags

CCSS.HSF-LE.A.1C

Front

If a computer is bought for $2100 and decreases by 50% annually, what is its worth after 2 years?

Back

$525.

Tags

CCSS.HSF.BF.A.2

Front

How much will a printer worth $35,000 be after 8 years if it depreciates at a rate of 5% annually?

Back

$23,219.72.

Tags

CCSS.HSF.BF.A.2

Front

Which of the following represents exponential decay? y = 8(1.05)^x, y = 0.8(1.05)^x, y = 1.05(1.8)^x, y = 8(0.95)^x

Back

y = 8(0.95)^x.

Tags

CCSS.HSF-IF.C.8B

Front

Define exponential decay.

Back

Exponential decay is a decrease in a quantity by a consistent percentage over a period of time.

Tags

CCSS.HSF-IF.C.8B

Front

What is the formula for exponential decay?

Back

The formula is A = A0 * e^(-kt), where A0 is the initial amount, k is the decay constant, and t is time.

Tags

CCSS.HSF-LE.A.1A

Front

What does a decay factor of 0.8 indicate?

Back

It indicates a decay rate of 20%.

Tags

CCSS.HSF-IF.C.8B

Front

If a population decreases by 10% each year, what is the decay factor?

Back

0.90.

Tags

CCSS.HSF-LE.A.1C

Front

How do you calculate the remaining value of an asset after multiple years of depreciation?

Back

Use the formula: Remaining Value = Initial Value * (1 - Decay Rate)^Number of Years.