Question

5Look at the picture to the right.

Which relationships have the same constant of proportionality between y and x as in the equation?
Select all that apply

I know from the charts it's C but from the latest tables I don't know.

Answer 1

*Correct Question:

Which relationships have the same constant of proportionality between y and x as the equation 3y=27x?

Answer:

A, B, C

Explanation:

Given that
`3y=27x`, we can simplify to get a proportionality statement that exists between X and y. Thus

`3y=27x`

Divide both sides by 3

`(3y)/(3)=(27x)/(3)`

`y=9x`

Thus, we can say, y would always be 9 times the quantity of x.

From the options given, examine which options have this proportionality statement as well.

Option A, y = 9x is same as the statement.

Option B, 2y = 18x, conforms to the same statement. If we simply further, we would have y = 9x

Option C, the graph shows that when x = 1, y = 9. This also confirms to the same constant of proportionality in the given equation.

Option D and E do not have same constant of proportionality.

The right options are A, B, and C.