The percentage of students enrolled in a university who are between ages
25
and
34
can be modeled by the formula
s
=
5

ln

(
x
)
, where
s
is the percentage of students and
x
is the number of years since
1989
. Predict the year in which approximately
15
%
of students enrolled in a university are between ages
25
and
34
.

Respuesta :

Answer:

Step-by-step explanation:

To solve this problem, we need to use the given formula and find the value of x that corresponds to s = 15%.Given information:The formula for the percentage of students between ages 25 and 34 is s = 5 × ln(x), where s is the percentage of students, and x is the number of years since 1989.We want to find the value of x when s = 15%.Step 1: Substitute s = 15 into the formula.

15 = 5 × ln(x)

ln(x) = 15/5

ln(x) = 3Step 2: Take the exponential of both sides to find x.

x = e^3

x ≈ 20.09Step 3: Since x represents the number of years since 1989, we need to add 1989 to find the year.

Year = 1989 + 20.09

Year ≈ 2009.09Therefore, according to the given model, approximately 15% of students enrolled in a university will be between ages 25 and 34 in the year 2009.09, which is approximately the year 2009.

Q&A Education