Question

Lydia writes the equation below with a missing value.

y=5x-[]

She puts a value in the box and says that the equation represent a direct variation. Which explains whether the equation could represent a direct variation?

A.The equation has a minus sign, so it cannot represent a direct variation.
B.If she puts 5 in the box, she would have a direct variation.
C.If she puts 0 in the box, she would have a direct variation.
D.The equation is not of the form y = kx, so it cannot represent a direct variation.

Answer 1

If she puts 0 in the box she would have a direct variation.

Explanation:

Given : Lydia writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.We have to choose the correct option from the given options that explain that the equation could represent a direct variation.When two variables are such that one is a constant multiple of other, we said they are in Direct variation.

That is in form of y = ax , here y and x are in direct variation.Consider the given equation y = 5x - __

For the equation to be in direct variation the value of missing term has to be 0.

then equation becomes,y = 5x

Thus, If she puts 0 in the box she would have a direct variation.

Option (a) is correct.