Question

If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation? A) 1/5 B) 4/5 C) 5 D) 16

Answer 1

Answer:

C) 5

Step-by-step explanation:

The problem tell us that y is directly proportional to x, so we can represent this mathematically by:

$y=c*x$

Where:

$c=Proportionality\hspace{3}constant$

If we evaluate the data provided by the problem, then:

$20=c*4$

Solving for c, dividing both sides by 4:

$\frac{20}{4} =c*\frac{4}{4} \\5=c*1\\5=c$

Hence, the proportionality constant or the constant of variation is 5

Answer 2

Y=kx
20=k*4
k=5
so option c