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.

Question

Adelaide Buckley

Mathematics

6 October, 23:27

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.

+3

Answers (1)

Know the Answer?

Leandro · Answer 1

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

Step-by-step 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.