Answer:
[tex]x=10[/tex]
[tex]y=5[/tex]
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 [tex]y/x=k[/tex] or [tex]y=kx[/tex]
we have
1) For [tex]y=0.2, x=1[/tex]
Find the value of k
[tex]0.2/1=k[/tex] -------> [tex]k=0.2[/tex]
2) For [tex]y=1, x=5[/tex]
Find the value of k
[tex]1/5=k[/tex] -------> [tex]k=0.2[/tex]
3) For [tex]y=2, x=?[/tex]
Find the value of x
[tex]x=y/k[/tex] -------> [tex]x=2/0.2=10[/tex]
4) For [tex]y=3, x=15[/tex]
Find the value of k
[tex]3/15=k[/tex] -------> [tex]k=0.2[/tex]
5) For [tex]y=?, x=25[/tex]
Find the value of x
[tex]y=kx[/tex] -------> [tex]y=0.2*25=5[/tex]
