Question

Fill in the missing number to complete the linear equation that's give the rule for this table.x: 5, 6, 7, 8,y: 48, 49, 50, 51y = x + ?

Answer 1

y=x+43

Step-by-step explanation:

Let the missing number = c

So we have the equation:

`y=x+c`

When x=5, y=48

`\begin{gathered} 48=5+c \\ c=48-5 \\ c=43 \end{gathered}`

Similarly, just to be sure:

When x=8, y=51

`\begin{gathered} 51=8+c \\ c=51-8 \\ c=43 \end{gathered}`

Therefore, the linear equation that gives the rule for the table is:

`y=x+43`