n the table as x increases by​ 1, the value of y increases by 2. Complete the table. Describe the relationship between x and y. Then use the table to graph the relationship.

Question

x
0
1
2
3
4
5
y
0
2
4
Question content area bottom
Part 1
Complete the table.
x
0
1
2
3
4
5
y
0
2
4
  
6
  
8
  
10
Part 2
The table shows the relationship between x and y. Which statement expresses that​ relationship?
A.
Each value of y is 2 times the corresponding value of x.
Your answer is correct.B.
Each value of y is 2 greater than the corresponding value of x.
C.
Each value of y is 3 times the corresponding value of x.
D.
Each value of y is 3 greater than the corresponding value of x.
Part 3
Use the table to graph the relationship between x and y. Which graph shows the​ relationship?
A.
0
10
0
5
x
y

A horizontal x-axis is labeled from 0 to 10. A vertical y-axis is labeled from 0 to 5. A line rises from left to right and passes through six plotted points. The first point is at the origin, (0, 0). The second point is 2 units to the right of and 1 unit above the origin. The third point is 4 units to the right of and 2 units above the origin. The fourth point is 6 units to the right of and 3 units above the origin. The fifth point is 8 units to the right of and 4 units above the origin. The sixth point is 10 units to the right and 5 units above of the origin.
B.
0
5
0
10
x
y

A horizontal x-axis is labeled from 0 to 5. A vertical y-axis is labeled from 0 to 10. A line falls from left to right and passes through six plotted points. The first point is 10 units above the origin, (0, 0). The second point is 1 unit to the right of and 8 units above the origin. The third point is 2 units to the right of and 6 units above the origin. The fourth point is 3 units to the right of and 4 units above the origin. The fifth point is 4 units to the right of and 2 units above the origin. The sixth point is 5 units to the right of the origin.
C.
0
5
0
10
x
y

A horizontal x-axis is labeled from 0 to 5. A vertical y-axis is labeled from 0 to 10. A line rises from left to right and passes through six plotted points. The first point is at the origin, (0, 0). The second point is 1 unit to the right of and 2 units above the origin. The third point is 2 units to the right of and 4 units above the origin. The fourth point is 3 units to the right of and 6 units above the origin. The fifth point is 4 units to the right of and 8 units above the origin. The sixth point is 5 units to the right of and 10 units above the origin.
D.
0
10
0
5
x
y

Answer 1

Part 1: Complete the Table

The table has already been partially filled out. The relationship describes that as \( x \) increases by 1, \( y \) increases by 2.

Here's the completed table:

| x | y | |---|----| | 0 | 0 | | 1 | 2 | | 2 | 4 | | 3 | 6 | | 4 | 8 | | 5 | 10 |

Part 2: Describe the Relationship

Given the values in the table, the correct statement that expresses the relationship between \( x \) and \( y \) is:

• A. Each value of y is 2 times the corresponding value of x.

This statement reflects the linear relationship defined by the equation \( y = 2x \).

Part 3: Graph the Relationship

From the completed table, you can plot the points (0,0), (1,2), (2,4), (3,6), (4,8), and (5,10) on the graph.

To find the correct graph description among the options provided:

• Option C: The line rises from left to right, starts at the origin (0, 0), and passes through points like (1, 2), (2, 4), (3, 6), (4, 8), and (5, 10) accurately representing the data you have.

Based on the above analysis, the final options are:

• Complete Table: As provided above.
• Relationship Statement: A.
• Graph Choice: C.