Question

The variables x and y vary directly. Write an equation that relates x and y, when x = 4 and y = 16

Answer 1

Answer:

y = 4x

Step-by-step explanation:

When we say that x and y "vary directly", we mean that they have the relationship: y = kx, where k is a "constant of proportionality".

Here, we want to know what k is, so we plug 4 in for x and 16 in for y:

y = kx

16 = k * 4

k = 16/4 = 4

Thus, our equation is y = 4x.

Answer 2

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