Question

Y and x have a proportional relationship, and y = 7 when x = 2. What is the value of y when x = 5?

Answer 1

Y should be equal to 17.5.

Answer 2

`y=17.5`

Explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
`y/x=k` or
`y=kx`

Step 1

Find the value of the constant k

we have

`y=7, x=2`

substitute

`7/2=k`

`k=3.5`

so

the equation is equal to

`y=3.5x`

Step 2

Find the value of y when
`x=5`

substitute in the equation

`y=3.5(5)=17.5`