Q:

Relationship A has a lesser rate than Relationship B. This table represents Relationship B.Hours worked 2 4 5 8Amount paid ($) 36.50 73 91.25 146Which equation could represent Relationship A?Hours worked is represented by x and Amount paid is represented by y.Select each correct answer.y = 18.1xy = 18.6xy = 18.3xy = 18x

Accepted Solution

A:
Answer:y = 18.1x ; and y = 18xExplanation:The rate of change in Relationship B can be found by using the formula for slope:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Using the first two points, we have[tex]m=\frac{73-36.50}{4-2}=\frac{36.50}{2}=18.25[/tex]We know that Relationship A has a lesser rate than this.  The choices given for Relationship A are written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in this case b = 0).The slope of the first equation is 18.1; this is less than 18.25.The slope of the second equation is 18.6; this is greater than 18.25.The slope of the third equation is 18.3; this is greater than 18.25.The slope of the fourth equation is 18; this is less than 18.25.