Question

1. the table below shows max’s age and carol’s age. write a rule for the table and fill in the missing numbers.

max’s age | carol’s age
7 | 13
10 |
14 | 20
18 | 24
| 31

Explanation:

Step1: Find the relationship

Check the difference between Carol's age and Max's age. For the first row: \(13 - 7 = 6\). Second row (let Max's age be \(x = 10\), Carol's age \(y\)): Let's assume the rule is \(y=x + 6\). Check with third row: \(14+6 = 20\) (matches). Fourth row: \(18 + 6=24\) (matches). So the rule is Carol's age = Max's age + 6.

Step2: Fill missing when Max=10

Using the rule \(y = 10+6=16\).

Step3: Fill missing when Carol=31

Solve \(31=x + 6\), so \(x=31 - 6 = 25\).

Answer:

Rule: Carol's Age = Max's Age + 6
Missing numbers: When Max's age is 10, Carol's age is 16; when Carol's age is 31, Max's age is 25.
(Table after filling:

Max’s Age	Carol’s Age
10	16
14	20
18	24
25	31	)