PLEASE HELP ME WITH THIS. 20 POINTSRelationship A has a greater rate than Relationship B. This table represents Relationship B.Hours worked 2 4 5 8Amount paid ($) 25 50 62.50 100Which equation could represent Relationship A?Hours worked is represented by x and Amount paid is represented by y.Select each correct answer.A. y = 13xB. y = 11.5xC. y = 12.25xD. y = 12.75x

Answer:y=12.75x and y=13xStep-by-step explanation:The rate of change is another name for slope.  To find the slope of Relationship B, we use the formulam = \frac{y_2-y_1}{x_2-x_1}Using the first two points, we havem = (50-25)/(4-2) = 25/2 = 12.5This 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.