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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.
Find the missing y values, substitute the input values for x in the rule ( y = x ÷ 4).
24 → |
|
→ 6 |
4 → |
|
→ 1 |
36 → |
|
→ 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 |
|
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.
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 → |
|
→ 14 |
7 → |
|
→ 12 |
8 → |
|
→ 13 |
1 → |
|
→ 6 |
|
So the answer is
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.
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 → |
|
→ 64 |
3 → |
|
→ 24 |
6 → |
|
→ 48 |
2 → |
|
→ 16 |
|
So the answer is
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