Exponential Growth and Decay

Front

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

Back

.92

Front

Function with initial amount of $15 and an increase of 35% each year: y = 15(35)^x, y = 15(1.35)^x, y = 15(0.35)^x, y = 35(1.15)^x

Back

y = 15(1.35)^x

Front

Classify the model: A=10(1.01)³ as Exponential GROWTH or DECAY.

Back

Growth

Front

Classify the model: A=1200(.85)⁶ as Exponential GROWTH or DECAY.

Back

Decay

Front

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

Back

70(2)⁵

Front

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.
Options: y=6(0.14)^x, y=6(1+14)^x, y=6(1.14)^x, y=6(0.86)^x

Back

y=6(1.14)^x

Front

Equation for bacteria culture starting with 5000 cells, dying by 30% each year.

Back

y=5000(0.7)^x

Front

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

Back

4309

Front

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

Back

4309

Front

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

Back

$23,219.72