Relationship a has a lesser rate than relationship b. this table represents relationship b. hours worked 2 4 5 8 amount paid ($) 36.50 73 91.25 146 which equation could represent relationship a? hours worked is represented by x and amount paid is represented by y. select each correct answer. y = 18.1x y = 18.6x y = 18.3x y = 18x

y = 18.1x ; and y = 18x

Explanation:

The rate of change in Relationship B can be found by using the formula for slope:

Using the first two points, we have

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.

Option A and D.

Step-by-step explanation:

If a linear function passes through two points, then the rate of change is

From the given table it is clear that the Relationship B have two ordered pairs (2,36.50) and (4,73). So, the rate of Relationship B is

The rate of relation B is 18.25.

Let hours worked is represented by x and amount paid is represented by y. So the Relationship B is defined as

Where, k is the rate of relationship A.

It is given that Relationship A has a lesser rate than Relationship B.

We know that

, , and .

The relationship A could be

and

Therefore, the correct options are A and D.