Unit 3 Study Guide

Front

What is 2% as a decimal?

Back

0.02

Front

Write an exponential function to model the depreciation of a car valued at $18000 at a rate of 12% per year. What will the value be after 10 years?

Back

V(t) = 18000(0.88)^t ; $5013.02

Front

Describe the transformation from dotted to solid in the function f(x).

Back

f(x + 5) + 3

Front

Back

a=8, r=12.5%.

Front

Write an exponential growth function for a painting originally valued at $1400 that increases by 9% each year.

Back

y=1400(1.09)^x

Front

What is the formula for exponential decay?

Back

V(t) = V_0(1 - r)^t, where V_0 is the initial value and r is the decay rate.

Front

How do you convert a percentage to a decimal?

Back

Divide the percentage by 100.

Front

What does the base of an exponential function represent?

Back

The base represents the growth or decay factor.

Front

What is the formula for exponential growth?

Back

y = y_0(1 + r)^t, where y_0 is the initial amount and r is the growth rate.

Front

What is the significance of the exponent in an exponential function?

Back

The exponent indicates the time period over which growth or decay occurs.