Flashcard 4 Practice- Growth and Decay functions

Front

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

Back

Y-INTERCEPT

Tags

CCSS.HSF-IF.C.7E

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

Tags

CCSS.HSF.LE.A.2

Front

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

Back

y = 1500(1 - 0.015)^t

Tags

CCSS.HSF-LE.A.1C

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

Tags

CCSS.HSF.LE.A.2

Front

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

Back

.95

Tags

CCSS.HSF-IF.C.8B

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.

Tags

CCSS.HSF-IF.C.8B

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.

Tags

CCSS.HSF-IF.C.8B

Front

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

Back

2 (since it doubles).

Tags

CCSS.HSF-LE.A.1C

Front

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

Back

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

Tags

CCSS.HSF-IF.C.8B

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.

Tags

CCSS.HSF-IF.C.7E