Question

find the value of y for a given value of x, if y varies directly with x. if y=3.3 when x=1.65, what is y when x=4.85?

Answer 1

The answer would be 9.7 since the patter is that X is half of what Y is so you just multiple X by 2 and you get 9.7

Answer 2

`y=9.70`

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 a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

so

In this problem

`y=3.3, x=1.65`

Find the value of k

`y/x=k`

substitute the value of x and y

`3.3/1.65=k`

`k=2`

the equation is equal to

`y=2x`

For
`x=4.85`

`y=2(4.85)=9.70`