The linear function that describes the percentage of Americans completing four years or more of college is:
[tex]a_n = 0.5n + 11[/tex]
What is a linear function?
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- In 1960, 11% of Americans completed four years or more of college, hence the y-intercept is [tex]b = 11[/tex].
- On average, this percentage has increased by 0.5% each year, hence, the slope is [tex]m = 0.5[/tex].
Then, the formula is:
[tex]a_n = mx + b[/tex]
[tex]a_n = 0.5n + 11[/tex]
You can learn more about linear functions at https://brainly.com/question/25823744
