Question

The variables x and y vary directly. When x = 30, y = 5. Which of the following equations represents this relationship?

a.Y = (1/30)x
b.Y= x - 25
c.Y= 6x
d.Y= (1/6)x

Answer 1

To find the equation representing the direct proportion between x and y when x = 30 and y = 5, divide y by x to get the constant of proportionality (k = 1/6). Hence, the equation is Y = (1/6)x.

Step-by-step explanation:

The question is about finding the equation that represents the directly proportional relationship between two variables, x and y. We know when x = 30, y = 5. This information allows us to find the constant of proportionality, k, by dividing y by x, which gives us k = 5 / 30 or k = 1/6. Therefore, the equation representing this directly proportional relationship is y = (1/6)x.

The correct equation that represents this direct proportion is option d. Y = (1/6)x.