the scatter plot shows the relationship between the number of chapters and the total number of pages for…

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. 12 chapters 15 chapters 18 chapters 21 chapters
Answer
Explanation:
Step1: Assume linear - relationship
Since we use the trend line, assume a linear relationship between the number of chapters $y$ and the number of pages $x$. Let the equation of the line be $y = mx + b$. We would need to find the equation of the trend - line from the scatter - plot (usually by using two points on the line). But if we assume a proportional relationship (simplified case when $b = 0$ for a line passing through the origin, which may be a reasonable approximation if the trend starts from near the origin), and we know two points from the general understanding of the relationship. For example, if we assume that when $x_1$ pages correspond to $y_1$ chapters and we want to find $y_2$ for $x_2$ pages, we can use the proportion $\frac{y_1}{x_1}=\frac{y_2}{x_2}$. Let's assume from the scatter - plot (or a general sense of the linear relationship) that if we assume a book with 120 pages has 12 chapters (a made - up example for illustration purposes, as the actual points on the line are not given precisely). Then $\frac{y}{180}=\frac{12}{120}$.
Step2: Solve the proportion
Cross - multiply the proportion $\frac{y}{180}=\frac{12}{120}$: $120y=12\times180$. $y=\frac{12\times180}{120}$. $y = 18$.
Answer:
C. 18 chapters