This document discusses direct variations and provides examples. It begins by defining a direct variation as a relationship where one variable increases as the other increases, and their ratio remains constant. It then provides a table showing a direct relationship between the number of kilos of paper and its cost. The document explains that for a direct variation, the equation is Y=kX, where k is the constant ratio of y/x. It provides examples of situations that do or do not show direct variation and includes a sample problem solving for a direct variation equation.

1. DIRECT
VARIATIONS
2nd Quarter

2. Introduction
1.What is a variation?
2.If variation tells
something about the
relationship of variable,
if it is direct what does
it mean?

3. 3
If a kilo of paper cost 5 pesos,
Complete the table of values below:
No. of
kilos (x)
1 2 3 4 5
Cost (y) 5 10 15 20 25

4. Questions
1. What have you
noticed with the no.
of kilos and the cost?
2. How about if values
of y will be divided
by x? What would be
the quotient?

5. Direct
Variations
1. Happens when one variable
increases the other increases
too and vice versa
2. Y varies directly with x and the
ratio is constant.
3. Y= kx
4. k= y/x

6. Seatwork
Put a check if a situation shows
direct variation.
1. Area of a wall and a paint used
to cover it
2. Amount of food intake to the
weight gained
3. Time spent in reviewing to the
chance of passing the test
4. Speed and time
5. Size of every slice of pizza to the
number of persons sharing it

7. Sample
Problem
If y varies directly with x
and y=28 when x=3,
find y when x= 6 and
find x when y=112.

8. Remember
The graph of direct
variation is a straight line
since variables have the
same flow.

9. Seatwork
8 pencils cost 90 pesos.
How much will it cost to
20 pieces of the same
pencil?

10. 1
2
3
4
5
6
Push chairs in
Lights out
Single file, silent line
Proceed toward the woods
Pass the playground on the right
Count off
FIRE DRILL

11. EVACUATIO
N
1
2
3
4
5
6
7
Push chairs in
Lights out
Single file, silent line
Walk toward the high school
Pass the playground on the left
Proceed to new gym
Count off

12. SHELTER IN PLACE
1
Door closed
and locked
2
Windows covered,
closed, and locked
3
Students may only move
around the building
escorted by an adult
12

13. LOCK DOWN
1
2
3
4
5
Lights out
Door locked
Hide under the tables
Chair pulled toward you
No talking
13

14. WEATHER EMERGENCY
1
Know the safety
zone
2
Move quickly and
quietly to the
safety zone
14

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