Flashcard 4 Practice- Growth and Decay functions

Front

What does the 'a' represent in an exponential function?

Back

Y-INTERCEPT

Front

What function can be used to determine the monthly cell phone sales x months after January if sales increase at a rate of 3.75% per month?

Back

f(x) = 417(1.0375)^x

Front

How do you model a population of 1500 deer decreasing by 1.5% per year?

Back

y = 1500(1 - 0.015)^t

Front

What is the equation for Samantha's hair growth starting at 6 inches and growing at a rate of 14% a week?

Back

y = 6(1.14)^x

Front

How would you write the decay factor for a population of beetles decreasing at a rate of 5%?

Back

.95

Front

What is the general form of an exponential growth function?

Back

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

Front

What is the general form of an exponential decay function?

Back

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

Front

If a population doubles every 5 years, what is the growth factor?

Back

2 (since it doubles).

Front

What is the difference between growth and decay in exponential functions?

Back

Growth increases the quantity over time, while decay decreases it.

Front

How do you find the y-intercept of an exponential function?

Back

Set x = 0 in the function f(x) = a(1 + r)^x.