Exponential Growth and Decay

Front

Back

$242,000

Front

Find the rate and starting value of the following Exponential Functions. y=5(1.05)^x

Back

a = 5, r = 0.05

Front

Find the rate and starting value of the following Exponential Functions: y=20(0.52)^x

Back

a = 20, r = 0.48

Front

Does the following Exponential Function represent growth or decay? y=5(1.05)^x

Back

Growth

Front

Does the following Exponential Function represent growth or decay? y=20(0.52)^x

Back

Decay

Front

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor? (1-r) = ?

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

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.

Back

y=6(1+ 0.14)^x

Front

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

Back

y=5000(1 - .30)^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 fish