Question

Olivia used 9 blueberries for every 3 strawberries in her smoothie. Which

direct variation equation represents this relationship?

A. y = 27x
B. yt-3x
C. y = 3x
D. y = 9x
E. y=1/3x

Answer 1

The direct variation equation representing the relationship between blueberries (y) and strawberries (x) in Olivia's smoothie is y = 3x, with y being three times the number of x.

Step-by-step explanation:

The question provided by the student is looking for a direct variation equation that represents the relationship between the number of blueberries (y) used for every fixed number of strawberries (x) in Olivia's smoothie. Since there are 9 blueberries for every 3 strawberries, we can set up a ratio of y (blueberries) to x (strawberries) as y/x = 9/3. This ratio simplifies to y/x = 3, indicating that for every one strawberry, there are three blueberries.

So, if we multiply each strawberry by 3 to get the corresponding number of blueberries, the direct variation equation is y = 3x. This equation shows that the number of blueberries y is three times the number of strawberries x.