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.

Responses

y = 2.2x
y, = 2.2, x

y=12x
y equals 1 half x

y = 3x
y, = 3, x

y = 1.4x

Answer 1

here's the graph

Answer 2

Okay, to actually explain this without just giving you an answer directly:

It says the graph in the image is Graph A, and it states tat Graph B has a greater rate than Graph A does.

This means that the rate (rise over run) of Graph B is a larger number that Graph A.

Graph A is currently has the points (2,4) and (4,8)\(\sf{^-}\).

You can get the slope (rate) from these two coordinates by removing the larger coordinate (by placement) from the smaller one.

\(\sf{(4-2,8-4)}\)

What you get is \(\sf{(2,4)}\) which you then do rise over run on (y over x).

\(\sf{\dfrac{4}{2}}\)

That means the slope of Graph A is \(\sf{2}\), meaning Graph B must have a larger slope than Graph A.

Now, you're given (I'm assuming) 5 answers:
\(\sf{y=2.2x~~|~~y=12x~~|~~y=\dfrac{1}{2}x~~|~~y=3x~~|~~y=1.4x}\)

Now, it says the rate of Graph B is greater than the rate of Graph A, meaning the ones with a value less than \(\sf{2}\) should be considered incorrect answers.

I'll let you figure out which ones are the answers.
Hint: it is NOT the choices loveboy answered with.



Best of luck,
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