Card Set Information
Growth and Decay and INVERSES
Label the equations values-
A(t)- final amount
a- initial amount
t- number of time periods
r- rate of increase
Tony purchased a guitar in 2000 for 12,000. It is estimated that the valuew ill increase by 14% each year. Find when the value of the guitar will be 60,000.
60,000 = 12,000(1+.14)^t
60,000/12,000 = 5
log1.14^5 = t
CHANGE OF BASE FORMULA- log5/log1.14 ~ 12.2
: The guitar will be 60,000 in 12.2 years.
When graphing an inverse, what can you do to the x and y variables?
Switch the x and y with each other.
What happens to the domain and range for the inverse?
They switch with each other.
List the steps to writing and inverse.
1. Put in y = f(x) format and graph f
2. switch x and y
3. solve for y
4. write in slope-intercept form- y = mx + b
5. write inverse and graph