Question

PLEASE HELP AND PLEASE MAKE YOUR EXPLANATION DETAILED!!!

Answer 1

Answer:

18

Step-by-step explanation:

168 : 28 : : 108 : y

168 / 28 = 108 / y

6 = 108 / y

6 * y = 108

y = 108 / 6

y = 18

Answer 2

Answer:

y = 18

Step-by-step explanation:

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

y = kx ← k is the constant of variation

To find k use the condition y = 28 when x = 168

28 = 168k ( divide both sides by 168 )

$\frac{28}{168}$ = k , that is

k = $\frac{1}{6}$

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

When x = 108 , then

y = $\frac{1}{6}$ × 108 = 18