Question

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

A graph has times buying lunch per week on the x-axis, and dollars spent on the y-axis. A trend line goes through points (2, 5.5) and (5, 15.25).

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

Answer 1

Answer:

The answer is c)

Step-by-step:

To find the equation of the trend line, we first need to calculate the slope m using the given points (2, 5.5) and (5, 15.25).

m = y2 - y1/ x2 - x1

m = 15.25 - 5.5/5 - 2

m = 9.75/3

m = 3.25

Now, we have the slope (m = 3.25). Next, we can use the point-slope form of a linear equation to find the equation of the trend line:

y - y_1 = m(x - x_1)

Using point (2, 5.5):

y - 5.5 = 3.25(x - 2)

y - 5.5 = 3.25x - 6.5

y = 3.25x - 6.5 + 5.5

y = 3.25x - 1

So, the equation of the trend line is y = 3.25x - 1. Therefore, the correct option is:  y = 3.25x - 1.