Question

Suppose y varies directly with x. Write a direct variation that relates x=3 and y=7.5

a) y = 2.5x
b) y = 0.25x
c) y = 3x
d) y = 2x

Answer 1

To write a direct variation that relates x=3 and y=7.5, we need to find the constant of variation. The direct variation equation is y = 2.5x.

Step-by-step explanation:

To write a direct variation that relates x=3 and y=7.5, we need to find the constant of variation. In a direct variation, the equation is of the form y = kx, where k is the constant of variation. We can find k by dividing y by x. Using the given values, k = 7.5/3 = 2.5. So, the direct variation equation is y = 2.5x, which corresponds to option a) y = 2.5x.