Transcript Day Problems 1. Is the equation a direct variation? If it is, find the constant of variation. -2x = 4y 2.

Day Problems
1. Is the equation a direct variation? If it is, find
the constant of variation.
-2x = 4y
2. Write an equation of the direct variation that
includes the given point: (-5 , -9)
• For the data in each table, tell whether y
varies directly with x. If it does, write an
equation for the direct variation.
3. x
y
4. x
y
-2
3.2
4
6
1
2.4
8
12
4
1.6
10
15
5.6 Describing Number Patterns
• Inductive Reasoning – making
conclusions based on patterns you
observe.
• Conjecture - a conclusion you reach by
inductive reasoning.
•
Extending Number Patterns
Use inductive reasoning to describe each
pattern. Then write the next two numbers in
each pattern.
a. 2
5
8
11
The pattern is:
“add 3 to the previous term”
Next 2 numbers:
11 + 3 = 14
14 + 3 = 17
•
Extending Number Patterns
Use inductive reasoning to describe each
pattern. Then write the next two numbers in
each pattern.
b. 2
4
8
16
The pattern is:
“multiply the previous term by 2”
Next 2 numbers:
16 (2) = 32
32 (2) = 64
•
Extending Number Patterns
Use inductive reasoning to describe each
pattern. Then write the next two numbers in
each pattern.
c. 1
4
9
16
The pattern is:
“square consecutive integers”
Next 2 numbers:
52 = 25
62 = 36