Question

the scatter plot shows the relationship between the number of chapters and the total number of pages for several books. use the trend line to predict how many chapters would be in a book with 180 pages. 21 chapters 18 chapters 12 chapters 15 chapters

Explanation:

Step1: Analyze the trend line

Assume the trend line has a linear relationship. Let's suppose the trend line equation is \( y = mx + b \), where \( y \) is pages and \( x \) is chapters. From the scatter plot (visually), we can estimate the slope. For example, if when \( x = 0 \), \( y = 0 \) (assuming the line passes through origin or near), and we can find the slope by picking two points. Let's say from the plot, when chapters \( x_1 = 10 \), pages \( y_1 = 100 \) (approx), so slope \( m=\frac{100}{10} = 10 \). So equation \( y = 10x \).

Step2: Predict chapters for 180 pages

We need to find \( x \) when \( y = 180 \). Using \( y = 10x \), substitute \( y = 180 \): \( 180 = 10x \), solve for \( x \): \( x=\frac{180}{10}=18 \).

Answer:

18 chapters (corresponding to the option "18 chapters")