Answer:
[tex]y=17.5[/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]
Step 1
Find the value of the constant k
we have
[tex]y=7, x=2[/tex]
substitute
[tex]7/2=k[/tex]
[tex]k=3.5[/tex]
so
the equation is equal to
[tex]y=3.5x[/tex]
Step 2
Find the value of y when [tex]x=5[/tex]
substitute in the equation
[tex]y=3.5(5)=17.5[/tex]
