Question

In a certain​ year, 26​% of adults in a certain country viewed a college education as essential for success. For the following​ ten-year period, this percentage increased by approximately 1.8 each year. The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by​

Answer 1

Using a linear function, the percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by​:

P(x) = 26 + 1.8x.

What is a linear function?

A linear function is modeled by:

y = mx + b

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, and can also be interpreted as the initial value of the function.

For this problem, we have that:

• The initial percentage is of 26%, which is the y-intercept.

• The yearly increase rate is of 1.8%, which is the slope.

Hence the linear function that models this situation is given by:

P(x) = 26 + 1.8x.

More can be learned about linear functions at brainly.com/question/24808124

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