Quiz Review: Exponential Decay
" 1 % x(1
1.) y = $ '
#2&
!
2.)
y=3
x"1
+3
!
asymptote:____________
domain:_______________
range:________________
growth or decay:_______
parent function: ________
translation: ____________
" 1 % x(1
3.) $ ' + 2
# 3&
!
asymptote:____________
domain:_______________
range:________________
growth or decay:_______
parent function: ________
translation: ____________
asymptote:____________
domain:_____________
range:________________
growth or decay:_______
parent function: _______
translation: ___________
A real life quantity that decreases by a fixed percent each year can be
modeled by the following equation:
y = a (1 ! r ) t
a is the initial amount, r is the percent decrease expressed as a decimal and
t is the time (in years).
You buy a new car for $22,000. The value of the car, y, decreases by 12.5%
each year.
A.) Write an exponential decay model for the value of the car.
B.) Estimate the value of the car after 10 years.
Quiz Review: Exponential Decay
1.) Use your graphing calculator to graph a scatter plot of Number of Deaths
per 100,000 women in the U.S. from STOMACH CANCER vs. Year.
2.) What type of model best suits the data.
3.) Use your graphing calculator to find a model for the data. Record your
model below.
4.) Use your model to estimate the number of deaths per 100,000 women in
the U.S. from stomach cancer in 1935.
5.) What is the estimated percent decrease per year in deaths per 100,000
women in the U.S. from stomach cancer?