Answer:
y=12.75x and y=13x
Step-by-step explanation:
The rate of change is another name for slope. To find the slope of Relationship B, we use the formula
m = \frac{y_2-y_1}{x_2-x_1}
Using the first two points, we have
m = (50-25)/(4-2) = 25/2 = 12.5
This means that anything with a rate of change greater than 12.5 works in this problem.
The equations listed for Relationship A are in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in all of these, b = 0).
In the first equation, m = 13; in the second equation, m = 11.5; in the third equation, m = 12.75; and in the fourth equation, m = 12.25. The only ones with higher slopes than Relationship B are the first and the third one.
