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Here are some tips for Function Tables 2, which aligns with New York state standards:

Function Tables 2

Example 1: Apply the rule

Use the given rule to fill in the missing values.

y = x ÷ 4
Input (x)	Output (y)
24
4
	8
36

Find the missing y values, substitute the input values for x in the rule ( y = x ÷ 4).

24   →   24 ÷ 4   →   6 4   →   4 ÷ 4   →   1 36   →   36 ÷ 4   →   9 To find the missing x value, solve for y. y = x ÷ 4 8 = x ÷ 4 8 × 4 = x ÷ 4 × 4 32 = x

So the answer is

y = x ÷ 4 Input (x) Output (y) 24 4 2 36

Example 2: Word problem

Fill in the missing values and find the rule that applies to the table. Write the rule in the format "y = ".
Maria has 5 more cookies than Jeremy.

Rule:
# cookies Jeremy has (x)	# cookies Maria has (y)
9
7
8
1

1.   Find the rule

Translate the sentence into an algebraic expression.

Maria has 5 more cookies than Jeremy Number of cookies Maria has is 5 more than the number of cookies Jeremy has y = + 5 x

So the rule is y = x + 5.

2.   Apply the rule

To apply the rule ( y = x + 5), substitute the input values for x in the rule.

9   →   9 + 5   →   14 7   →   7 + 5   →   12 8   →   8 + 5   →   13 1   →    1 + 5   →   6

So the answer is

Rule:
# cookies Jeremy has (x)	# cookies Maria has (y)
9
7
8
1

Example 3: Word problem

Fill in the missing values and find the rule that applies to the table. Write the rule in the format "y = ".
Octagons have 8 sides.

Rule:
Number of octagons (x)	Number of sides (y)
8
3
6
2

1.   Find the rule

Translate the sentence into an algebraic expression.
This is a rate problem where the rate is 8 sides per octagon.
So,

number of sides = sides per octagon × number of octagons y = 8 × x

So the rule is y = 8x.

2.   Apply the rule

To apply the rule ( y = 8x), substitute the input values for x in the rule.

8   →   8(8)   →   64 3   →   8(3)   →   24 6   →   8(6)   →   48 2   →    8(2)   →   16

So the answer is

Rule:
Number of octagons (x)	Number of sides (y)
8
3
6
2

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