Question

There are two functions that can be used to describe the percent of people 25 years and older who have completed at least high school. For both functions f(x)=0.44x + 87.5 and g(x)=0.008x^2 + 0.42x + 87.5 is the number of years since 2008, and any y (or f(x) or g(x)) is the percent of people 25 and older completing at least high school. Assume that the trend of g(x) continues. Find g(15) and describe in words what this means.
g(15)=

Answer 1

Answer:

$g(15)=93.8\%$

see the explanation

Step-by-step explanation:

Let

x ----> the number of years since 2008,

g(x) ----> the percent of people 25 years and older who have completed at least high school

we know that

$g(x)=0.008x^2+0.42x+87.5$

so

For x=15 years since 2008

substitute

$g(15)=0.008(15)^2+0.42(15)+87.5=93.8\%$

That means

In the year 2023 (2008+15) the percent of people 25 and older completing at least high school will be 93.8%