Question

Suppose y varies directly with x. write an equation relating x and y. y=7 when x=42

Answer 1

Answer:

y = $\frac{1}{6}$ x

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the given condition that y = 7 when x = 42

k = $\frac{y}{x}$ = $\frac{7}{42}$ = $\frac{1}{6}$

y = $\frac{1}{6}$ x ← equation of variation