Q:

I'll give brainliest if you show your work.Jeremy surveyed students in his class about their spending habits in the school cafeteria. He used the data to create a scatterplot.How Students Spend Money in the CafeteriaWhich is the equation of his trend line?y= 2.75xy= 3.05x- 0.6y= 3.25x- 1y= 9.75x- 14

Accepted Solution

A:
Answer:[tex]y=3.25x-1[/tex]Step-by-step explanation:step 1Find the slopewe have the points(2,5.5) and (5,15.25)The formula to calculate the slope between two points is equal to [tex]m=\frac{y2-y1}{x2-x1}[/tex]substitute[tex]m=\frac{15.25-5.5}{5-2}[/tex][tex]m=\frac{9.75}{3}=3.25[/tex]step 2Find the equation of the line in slope intercept formy=mx+bwe have[tex]m=3.25\\point\ (2,5.5)[/tex]substitute[tex]5.5=3.25(2)+b[/tex]solve for b[tex]b=-6.5+5.5=-1[/tex]therefore[tex]y=3.25x-1[/tex]