Question

Fill in the missing number to complete the linear equation that gives the rule for this tablex: 4, 5, 6, 7y: 32, 40, 48, 56y = ?x

Answer 1

according to the equation and information given we can see that the equation is in the form

`y=kx`

in which k is the constant of proportionality

use one of the points to find the constant

`\begin{gathered} 32=k(4) \\ k=(32)/(8) \\ k=8 \end{gathered}`

replace withone of the points to see if its true in all the points

`\begin{gathered} 40=8\cdot5 \\ 40=40 \end{gathered}`

according to this the equation for the table will be

`y=8x`