The scatterplot shows the number of minutes spent reading (x) and the number of pages read (y) by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

Though you did not post the scatter plot, I was able to figure out the scatter plot.

From the scatter plot, the labelled points are (32, 23) and (43, 30).

The equation of a line passiong through the points (32, 23) and (43, 30) is given by:

[tex] \frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1} \\ \\ \Rightarrow \frac{y-23}{x-32} = \frac{30-23}{43-32} = \frac{7}{11} \\ \\ \Rightarrow y-23= \frac{7}{11} (x-32)= \frac{7}{11} x- \frac{224}{11} \\ \\ \Rightarrow y=\frac{7}{11} x- \frac{224}{11}+23=\frac{7}{11} x+ \frac{29}{11}[/tex]

Therefore, the equation that represents the linear model is

[tex]y=\frac{7}{11} x+ \frac{29}{11}[/tex]