Find a linear model for the following data table.

A) $y = 1.67 x + 3.33$
B) $y = 3.33 x + 1.67$
C) $y = 5 x + 0$
D) $y = 0 x + 5$

Question

Find a linear model for the following data table.

A) $y = 1.67 x + 3.33$ 
B) $y = 3.33 x + 1.67$ 
C) $y = 5 x + 0$ 
D) $y = 0 x + 5$

Quizplus · Accepted Answer

We can find the slope of the line by using two points from the table. Let's choose (1, 5) and (3, 8). The change in y is 8 - 5 = 3, and the change in x is 3 - 1 = 2. Therefore, the slope is 3/2 or 1.5.

Next, we can find the y-intercept by noticing that when x is 0, y is 3.33 (approximately). Therefore, the y-intercept is 3.33.

Putting it all together, the linear model is y = 1.67x + 3.33.

Find a Linear Model for the Following Data Table y=1.67x+3.33y = 1.67 x + 3.33y=1.67x+3.33

Find a Linear Model for the Following Data Table $y = 1.67 x + 3.33$