The average age that a person has their first cell-phone has been decreasing
by approximately 10% each year since the year 2005. In the year 2005, a
person typically didn't get their first phone until the age of 20. 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.
y = 20(0.9)*
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?
Answer =
years old

Respuesta :

The average age at which a person gets  their first cell-phone in the year 2020 is 4 years old

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