Use the image to answer the question.

Question

An illustration shows the first quadrant of a coordinate plane titled Chapters of a Books versus pages. The x-axis shows chapters and ranges from 0 to 20 in increments of 1. The y-axis shows pages and ranges from 0 to 220 in increments of 20.
Ten points are plotted on the graph. The points are plotted at approximate coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 20 right parenthesis, left parenthesis 4 comma 45 right parenthesis, left parenthesis 5 comma 50 right parenthesis, left parenthesis 8 comma 95 right parenthesis, left parenthesis 10 comma 90 right parenthesis, left parenthesis 12 comma 130 right parenthesis, left parenthesis 17 comma 170 right parenthesis, left parenthesis 18 comma 160 right parenthesis, and left parenthesis 20 comma 210 right parenthesis. An upward slanting line starts at left parenthesis 0 comma 0 right parenthesis and continues to left parenthesis 17 comma 170 right parenthesis.

A librarian collected data on the number of pages in chapters of a book. Interpret the slope and the y
-intercept of the linear model. Round the slope to the nearest hundredth.

(1 point)
Responses

For every chapter of a book, there is an average of 10 pages.
For every chapter of a book, there is an average of 10 pages.

For every chapter of a book, there is an average of 0.1 page.
For every chapter of a book, there is an average of 0.1 page.

For every chapter of a book, there is an average of1/10
page.
For every chapter of a book, there is an average of Start Fraction 1 over 10 End Fraction page.

For every 10 chapters of a book, there is an average of 1 page.
For every 10 chapters of a book, there is an average of 1 page.

Answer 1

To interpret the slope and the y-intercept of the linear model represented in the graph:

1. Finding the Slope: The slope of a line in the context of this problem represents the average number of pages per chapter. To calculate the slope (m), we can take two points on the line, for example (0, 0) and (17, 170):

   \[ m = \frac{\Delta y}{\Delta x} = \frac{170 - 0}{17 - 0} = \frac{170}{17} = 10 \]

   This slope of 10 means that for every chapter of a book, there is an average of 10 pages.

2. Finding the y-intercept: The y-intercept is the value of y when x is 0. From the graph, the point (0, 0) indicates that when there are 0 chapters, there are also 0 pages, which means the y-intercept is 0.

Given this interpretation, the correct response is:

For every chapter of a book, there is an average of 10 pages.