Solution:
The following equation models the average age of getting their first cell-phone, y, as a function of the number of years after 2005, x :
[tex]y = 20(0.9)^x[/tex]
Using this model, what is the predicted average age at which a person gets their first cell-phone in the year 2020, rounded to the nearest tenth?
x = 2020 - 2005 = 15 years
Substitute x = 15
[tex]y = 20(0.9)^{15}\\\\y = 20 \times 0.20589\\\\y = 4.1178 \approx 4[/tex]
Thus the average age at which a person gets their first cell-phone in the year 2020 is 4 years old