5. Find the value of the variables in the table. e 5 7 10 12 Y 10 19 34 Of= 28; e = 1 Oe= 28:=4 Of= 30; e = 2 Oe= 30;J= 2

Question

asked Jun 20, 2023 71.0k views

2 Answers

Magne Land · Answer 1 · 2023-06-25T15:42:38+0000

Find the relation between x and y:

You can see that the given data that is complete (input (x) and output (y)) are related as follow:

$\begin{gathered} y=3x-2 \\ \end{gathered}$

Example:

When x is 5:

When x is 12:

Then, use the equation y=3x-2 to find the value of e and f:

To find e: substitute in the equation the y by 10 and find e (x):

$\begin{gathered} 10=3x-2 \\ 10+2=3x \\ 12=3x \\ (12)/(3)=x \\ 4=x \end{gathered}$ e= 4

To find f: substitute in the equation the x by 10 and find f (y)

$\begin{gathered} y=3(10)-2 \\ y=30-2 \\ y=28 \end{gathered}$ f = 28