Given:
The table of values for Fallon's earnings in terms of Donald's earnings.
To find:
The equation that best represents Fallon's earnings in terms of Donald's earnings.
Solution:
In the given table the x-values are increasing by 5 units and y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.
If the graph of a linear function passes through two points, then the equation of linear function is
Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is
Adding 45 on both sides, we get
Therefore, the correct option is A.
