Question

For the direct variation y = (3/4) when x = (1/8), how do you find the constant of variation and find the value of y when x = 3?

Answer 1

Answer:

Step-by-step explanation:

when a variable y varies directly with another variable x, then y is proportional to x.

This implies that y equals x times a constant k. This is; y=kx

Given; y=3/4 and  x=1/8.

Substituting; 3/4=k1/8

Solving for k;

Multiply both sides by 8 and simplify

8(3/4)=24/4=6

k=6

Thus  y=6x

Substituting for in x=3 in the equation;

y=6(3)=18

y=18