Notice that there is a relationship between the values on the table. If you plot them on the x-y axes, they are aligned.
There is a linear function that can represent them. In order to find the "slope"of the linear function, we use any two pairs (x1, y1) and (x2, y2) and performe the following calculation:
slope = (y2 - y1) / (x2 - x1)
In the case of (1, 230) and (2, 415) we have:
slope = (415 - 230) / (2 - 1) = 185 / 1 = 185
Therefore, the "slope" (m) of the line is 185. We use it to create the equation of the line and to find its y-intercept:
y = m x + b
y = 185 x + b
use the point (1, 230) to find the value of "b"for our line:
230 = 185 (1) + b
b = 230 - 185 = 45
Therefore, the equation of the line that represents the data is:
y = 185 x + 45
This equation agrees with the answer number "C"in your list of options.
