Answer:
The equation for those inputs and outputs is:
0.25 *input - 151.75 = Output
Explanation:
For this, first search for the Slope of the funtion
THe slope can be found by calculating this :
(y2-y1)/(x2-x1) or in this case (output2 - output1)/ (input2 - input1)
IT continues as follows:
( -48.5 - 24) / (-413 - (-703) ) =
= (-72.5) / (290)
= -0.25
The slope is -0.25. If the function is a line then the equation is
-0.25*input + B = output
with any of the choices we can determine B.
-0.25 * (-703) + B = 24
175.75 + B = 24
175.75 +B - 175.75 = 24 - 175.75
B = - 151.75
The equation for those inputs and outputs is:
0.25 *input - 151.75 = Output