Verified Answer :

X = 1, 5, 10, 15, 25

Y = 0.2, 1, 2, 3, 5

So in other words the missing x value is 10 and the missing y value is 5. (:

Answer:

\(x=10\)

\(y=5\)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form \(y/x=k\) or \(y=kx\)

we have

1) For \(y=0.2, x=1\)

Find the value of k

\(0.2/1=k\) -------> \(k=0.2\)

2) For \(y=1, x=5\)

Find the value of k

\(1/5=k\) -------> \(k=0.2\)

3) For \(y=2, x=?\)

Find the value of x

\(x=y/k\) -------> \(x=2/0.2=10\)

4) For \(y=3, x=15\)

Find the value of k

\(3/15=k\) -------> \(k=0.2\)

5) For \(y=?, x=25\)

Find the value of x

\(y=kx\) -------> \(y=0.2*25=5\)