Question

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?

Answer 1

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:

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

Therefore, the equation that represents the linear model is

$y=\frac{7}{11} x+ \frac{29}{11}$

Answer 2

Answer:A: y=7/11 +29/11

Step-by-step explanation: