Question

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.Which equations could represent Relationship B?Select each correct answer.y = 1.4xy = 2.2xy = 3xy=1/2 x

Answer 1

the We know that the rate is given by the slope of the function. Therefore, we need to find relationship A using the given points.

The given points are on the graph. Then, P1(2,4) and P2(4,8).

The slope is given by the next formula:

$m=\frac{y_2-y_1_{}}{x_2-x_1}$

Replacing the point values:

$m=\frac{8-4}{4-2}=\frac{4}{2}=2$

Therefore, the rate for relationship A is 2.

The question tells us that relation B has a greater ratio than A. So, we need to compare relationship A with the other cases.

For y=1.4x

We have the next :

1.4 > 2

1.4 is not greater than 2. Therefore, can not represent relationship B.

For y=2.2x

2.2> 2

2.2 is greater than 2. So, it could represent relationship B.

For y=3x

3>2

3 is greater than 2. So, it could represent relationship B.

For y=1.2x

1.2 >2

1.2 s not greater than 2. Therefore, can not represent relationship B

Hence, we got that y=2.2 and y=3 could represent relationship B.