Math Practice Online > free > lessons > Florida > 9th grade > Function Tables 2

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

Function Tables 2

This topic continues the topic of function tables.
To review the basics of function tables, see here.

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
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:
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
Rule:
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