Which of the following correctly describes the y-intercept?

Steps to Solve

1. Identify the y-intercept from the graph

The y-intercept is the point where the line crosses the y-axis. From the graph, this occurs at the point where $x = 0$. At this point, we need to look at the value of $y$.

2. Read the value of the y-intercept

From the graph, observe the y-axis at the point $x = 0$. The value of $y$ is 320. This means that when no hours are spent reading, there are 320 pages left to read.

3. Interpret the significance of the y-intercept

The y-intercept (320 pages) indicates the total number of pages in the book. Additionally, if a reader takes 8 hours to read all the pages, we can conclude that the statement "The book takes 8 hours to read" corresponds to the total pages divided by the reading speed.

4. Verify the reading speed

Assuming a person reads at a certain rate (let's say 40 pages per hour), the time to read the book would be calculated as:

$$ \text{Time} = \frac{\text{Total Pages}}{\text{Reading Speed}} $$ Substituting the values, we have:

$$ \text{Time} = \frac{320 \text{ pages}}{40 \text{ pages/hour}} = 8 \text{ hours} $$

This confirms that it takes 8 hours to read the book.