Questions: 5. y=x+4 Which table gives three values of x and their corresponding values of y for the given equation? (A) x y 0 4 1 5 2 6 B) x y 0 6 1 5 2 4 C) x y 0 2 1 1 2 0 D) x y 0 0 1 1 2 2

5. y=x+4

Which table gives three values of x and their corresponding values of y for the given equation?
(A)
x y
0 4
1 5
2 6

B)
x y
0 6
1 5
2 4

C)
x y
0 2
1 1
2 0

D)
x y
0 0
1 1
2 2

Transcript text: 5. $y=x+4$ Which table gives three values of $x$ and their corresponding values of $y$ for the given equation? (A) \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 0 & 4 \\ \hline 1 & 5 \\ \hline 2 & 6 \\ \hline \end{tabular} B) \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 0 & 6 \\ \hline 1 & 5 \\ \hline 2 & 4 \\ \hline \end{tabular} 6. C) \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 0 & 2 \\ \hline 1 & 1 \\ \hline 2 & 0 \\ \hline \end{tabular} D) \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 0 & 0 \\ \hline 1 & 1 \\ \hline 2 & 2 \\ \hline \end{tabular}

Solution

Solution Steps

Step 1: Understand the equation

The given equation is $ y = x + 4 $. This means that for any value of $ x $, the corresponding value of $ y $ is obtained by adding 4 to $ x $.

Step 2: Verify the tables

We need to check which table correctly represents the equation $ y = x + 4 $. Let's evaluate each table:

Table (A):
- When $ x = 0 $, $ y = 0 + 4 = 4 $.
- When $ x = 1 $, $ y = 1 + 4 = 5 $.
- When $ x = 2 $, $ y = 2 + 4 = 6 $.
- This matches the table exactly.
Table (B):
- When $ x = 0 $, $ y = 0 + 4 = 4 $, but the table shows $ y = 6 $.
- This does not match the equation.
Table (C):
- When $ x = 0 $, $ y = 0 + 4 = 4 $, but the table shows $ y = 2 $.
- This does not match the equation.
Table (D):
- When $ x = 0 $, $ y = 0 + 4 = 4 $, but the table shows $ y = 0 $.
- This does not match the equation.