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

`y=233(1)/(3)`

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(1)/(3)`

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

`x=2(1)/(3)=(2*3+1)/(3)=(7)/(3)`

`y=100((7)/(3))=(700)/(3)`

convert the result in mixed number

`(700)/(3)=(699)/(3)+(1)/(3)=233(1)/(3)`