Question

Question #14d05

Answer 1

`x = 7.5`

Explanation:

We know that `y` is proportional to `x`, so `yproptox=>y=kx`. This tells us that `y/x=k`, where `k="a constant"`.

So, we know that `y_1/x_1=y_2/x_2` which becomes `40/4=75/x_2`

By a process of rearranging we get: `x_2=(75*4)/40=75/1*4/40=75/1*1/10=75/10=7.5`

`x=7.5`

Hope this helps!

Answer 2

`x=7.5`

Explanation:

`"the initial statement is "ypropx`

`"to convert to an equation multiply by k the constant"`
`"of variation"`

`rArry=kx`

`"to find k use the given condition"`

`y=40" when "x=4`

`y=kxrArrk=y/x=40/4=10`

`• " equation is "y=10x`

`"when " y=75`

`rArrx=y/10=75/10=7.5`