Question

the value of y varies directly with x, and when x = 1/4 , y = 25. What is the value of y when x is 2 1/3 need help ASAP

Answer 1

Answer:

$y=233\frac{1}{3}$

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 $y/x=k$ or $y=kx$

In this problem we have

For $x=1/4, y=25$

Find the value of k (constant of proportionality)

$y/x=k$ -----> $k=25/(1/4)=100$

The linear equation is

$y=100x$

Find the value of y when the value of $x=2\frac{1}{3}$

substitute the value of x in the equation but first convert to an improper fraction

$x=2\frac{1}{3}=\frac{2*3+1}{3}=\frac{7}{3}$

$y=100(\frac{7}{3})=\frac{700}{3}$

convert the result in mixed number

$\frac{700}{3}=\frac{699}{3}+\frac{1}{3}=233\frac{1}{3}$