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dsp73
3 years ago
12

Relationship A has a lesser rate than Relationship B. This table represents Relationship B.

Mathematics
2 answers:
Alex73 [517]3 years ago
7 0

Answer:

Option A and D.

Step-by-step explanation:

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

m=\dfrac{y_2-y_1}{x_2-x_1}

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

m=\dfrac{73-36.50}{4-2}

m=\dfrac{36.50}{2}

m=18.25

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

y=kx

Where, k is the rate of relationship A.

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

k

We know that

18.1, 18.6>18.25, 18.3>18.25 and 18.

The relationship A could be

y=18.1x and y=18x

Therefore, the correct options are A and D.

Alja [10]3 years ago
6 0

Answer:

y = 18.1x ; and y = 18x

Explanation:

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

m=\frac{y_2-y_1}{x_2-x_1}

Using the first two points, we have

m=\frac{73-36.50}{4-2}=\frac{36.50}{2}=18.25

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.

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