Using Exponential Functions

Front

What does the model P=A(1+r)^t best represent?

Back

Exponential growth

Tags

CCSS.HSF-IF.C.8B

Front

What was the population of Winnemucca, Nevada in 1990 if modeled by P=6191(1.04)^t?

Back

6191

Front

Which function represents the table of values: f(x) = 4^x, f(x) = 4x, f(x) = x^3, f(x) = 4^(x-1)?

Back

f(x) = 4^x

Tags

CCSS.HSF.LE.A.2

Front

Convert 4.3% to a decimal.

Back

.043

Front

What is the initial amount 'a' in the function: f(x) = 300(1.16)^x?

Back

300

Tags

CCSS.HSF.LE.B.5

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt) where A is the amount, P is the principal, r is the rate, n is the number of times interest is compounded per year, and t is the time in years.

Front

What does the variable 't' represent in the exponential growth model P=A(1+r)^t?

Back

The number of time periods (usually years) since the initial amount was measured.

Front

If a population grows by 5% each year, what is the growth factor?

Back

1.05

Tags

CCSS.HSF-LE.A.1C

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Tags

CCSS.HSF-IF.C.8B

Front

How do you find the percent increase from an initial value to a final value?

Back

Percent Increase = ((Final Value - Initial Value) / Initial Value) * 100.

Tags

CCSS.6.RP.A.3C