Question

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

Answer 1

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Explanation:

Answer 2

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:

`y=3(5)-2=15-2=13`

When x is 12:

`y=3(12)-2=36-2=34`

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