Answer:
[tex]y=233\frac{1}{3}[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In this problem we have
For [tex]x=1/4, y=25[/tex]
Find the value of k (constant of proportionality)
[tex]y/x=k[/tex] -----> [tex]k=25/(1/4)=100[/tex]
The linear equation is
[tex]y=100x[/tex]
Find the value of y when the value of [tex]x=2\frac{1}{3}[/tex]
substitute the value of x in the equation but first convert to an improper fraction
[tex]x=2\frac{1}{3}=\frac{2*3+1}{3}=\frac{7}{3}[/tex]
[tex]y=100(\frac{7}{3})=\frac{700}{3}[/tex]
convert the result in mixed number
[tex]\frac{700}{3}=\frac{699}{3}+\frac{1}{3}=233\frac{1}{3}[/tex]
