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 varia

2 answers

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: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 = 5xThus, If she puts 0 in the box she would have a direct variation.Option (a) is correct.

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