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 Cafeteria
Which is the equation of his trend line?
y= 2.75x
y= 3.05x- 0.6
y= 3.25x- 1
y= 9.75x- 14

Ill 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 class=

Respuesta :

Answer:

[tex]y=3.25x-1[/tex]

Step-by-step explanation:

step 1

Find the slope

we 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 2

Find the equation of the line in slope intercept form

y=mx+b

we 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]

Answer: c

Step-by-step explanation: