Question

The scatter plot shows the area of the floor and the price for certain tents. Which equation could be a prediction equation for this set of data? F) y = x + 50 H) y = 10x + 25 G) y = 5x – 50 J) y = 5x + 22

Answer 1

Notice that the given line roughly passes through the points (6,50) and (36,200).

Then, the slope of the line is:

`\begin{gathered} m=(200-50)/(36-6) \\ =(150)/(30) \\ =5 \end{gathered}`

On the other hand, we can see that the y-intercept of the line is positive.

The only option which displays a line with slope 5 and a positive y-intercept, is:

`\begin{gathered} \text{Option J)} \\ y=5x+22 \end{gathered}`