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:
Replacing the point values:
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.