In the table as x increases by​ 1, the value of y increases by 11. 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
11
22
Question content area bottom
Part 1
Complete the table.
x
0
1
2
3
4
5
y
0
11
22
  
33
  
44
  
55
Part 2
The table shows the relationship between x and y. Which statement expresses that​ relationship?
A.
Each value of y is 11 greater than the corresponding value of x.
B.
Each value of y is 10 times the corresponding value of x.
C.
Each value of y is 10 greater than the corresponding value of x.
D.
Each value of y is 11 times the corresponding value of x.

Answer 1

Part 1: Complete the Table

Here’s the completed table based on the information that as \( x \) increases by 1, \( y \) increases by 11.

| x | y | |-----|-----| | 0 | 0 | | 1 | 11 | | 2 | 22 | | 3 | 33 | | 4 | 44 | | 5 | 55 |

Part 2: Describe the Relationship

To find the correct statement expressing the relationship, let's analyze the relationship between \( x \) and \( y \):

• The value of \( y \) increases by 11 for every increase of 1 in \( x \).
• This means \( y = 11x \).

Given this analysis, the correct statement that expresses that relationship is:

D. Each value of y is 11 times the corresponding value of x.

Graphing the Relationship

To graph the relationship, plot the points from the completed table:

• (0, 0)
• (1, 11)
• (2, 22)
• (3, 33)
• (4, 44)
• (5, 55)

You'll observe a straight line through these points, confirming that the relationship is linear with a slope of 11 (each step up by 1 in \( x \) results in a step up of 11 in \( y \)).