5
QuizMultiple Choice

Proportional Relationships — Quiz

Question 5 • Transition Mathematics for Seniors

Lydia writes the equation with a missing value. y is equal to 5 x minus square She puts a value in the box and says that the equation represents a direct variation. Which explains whether the equation could represent a direct variation?

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

Explanation

A direct variation has the form y = kx, with no added or subtracted constant. In y = 5x − □, putting 0 in the box gives y = 5x, which is a direct variation with k = 5. A nonzero value in the box would leave a constant term.

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