Exponential Growth and Decay

Front

Function with initial amount $15 and 35% increase 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=1200(.85)⁶ as Exponential GROWTH or DECAY.

Back

Decay

Front

Classify the model: A=10(1.01)³
Options: Growth, Decay

Back

Growth

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

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

Front

Deposit $3000 in a savings account at 4% annual interest. How much after 10 years? Options: $3122.18, $4994.50, $4440.73, $86,776.40

Back

$4440.73

Front

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

Back

$424,527.63

Front

Is the pictured graph growth, decay, or linear or none? Options: Exponential Growth, Exponential Decay, Linear, None

Back

Exponential Growth