Jessica and Mallory are sisters. Mallory was born 4 years before Jessica. Which table below correctly shows the relationship between their ages using the pattern y = x + 4? Jessica’s Age (x) Mallory’s Age (y) 3 7 5 9 9 11 Jessica’s Age (x) Mallory’s Age (y) 6 24 9 36 12 48 Jessica’s Age (x) Mallory’s Age (y) 7 11 9 13 14 18 Jessica’s Age (x) Mallory’s Age (y) 12 8 14 10 15 11

[tex]\boxed{\begin{aligned} \textsf{Jessica’s Age (x)} & \textsf{Mallory’s Age (y)} \\\\7\quad &\quad 11 \\\\9 \quad & \quad 13 \\\\14 \quad & \quad 18 \\\end{aligned}}[/tex]

Step-by-step explanation:

Let's analyze the given information and determine the correct table that represents the relationship between Jessica's age (x) and Mallory's age (y) using the pattern [tex]y = x + 4[/tex].

The correct pattern indicates that Mallory's age is 4 years more than Jessica's age.

Now, let's check each table:

For the first table:

[tex]y = x + 4[/tex]

For x = 3, [tex]y = 3 + 4 = 7[/tex]

For x = 5, [tex]y = 5 + 4 = 9[/tex]

For x = 9, [tex]y = 9 + 4 = 13[/tex] (not 11)

This table does not correctly follow the pattern.

For the second table:

[tex]y = x + 4[/tex]

For x = 6, [tex]y = 6 + 4 = 10[/tex] (not 24)

For x = 9, [tex]y = 9 + 4 = 13[/tex] (not 36)

For x = 12, [tex]y = 12 + 4 = 16[/tex] (not 48)

This table does not correctly follow the pattern.

For the third table:

[tex]y = x + 4[/tex]

For x = 7, [tex]y = 7 + 4 = 11[/tex]

For x = 9, [tex]y = 9 + 4 = 13[/tex]

For x = 14, [tex]y = 14 + 4 = 18[/tex]

This table correctly follows the pattern.

For the fourth table:

[tex]y = x + 4[/tex]

For x = 12, [tex]y = 12 + 4 = 16[/tex] (not 8)

For x = 14, [tex]y = 14 + 4 = 18[/tex] (not 10)

For x = 15, [tex]y = 15 + 4 = 19[/tex] (not 11)

This table does not correctly follow the pattern.

Therefore, the correct table is the third one:

[tex]\boxed{\begin{aligned} \textsf{Jessica’s Age (x)} & \textsf{Mallory’s Age (y)} \\\\7\quad &\quad 11 \\\\9 \quad & \quad 13 \\\\14 \quad & \quad 18 \\\end{aligned}}[/tex]