Question

an english teacher is requiring her students to read a 5-page article, as well as a book of each students choice. write the linear function that finds the total number of pages a student will read, y, based on the page length of their book, x. additionally, find the y-intercept of that function.

Explanation:

Step1: Define the linear function

The total pages \( y \) is the sum of the 5 - page article and the pages of the book \( x \). So the linear function is \( y=x + 5\).

Step2: Find the y - intercept

For a linear function in the form \( y=mx + b \), the y - intercept is \( b \). In the function \( y=x + 5\), comparing with \( y=mx + b \) (where \( m = 1\) and \( b=5\)), the y - intercept is 5.

Answer:

The linear function is \( y=x + 5\) and the y - intercept is 5.