Proportional Vs. NonProportional
Unit Rate/Constant of Proportionality
Proportional Relationship
Scale Drawings
Scale Factor
100
How do you know if a relationship is proportional?
Proportional relationship has the following:
- Goes through the origin (0,0)
- Straight Line
- Has a unit rate/ constant of proportionality
100
What is the constant of proportionality?
It is a unit rate
100
10 hamburger value meals cost $60.
What will 15 hamburger value meals cost?
The cost for 15 hamburgers is $90.
100
In your own words, what does Enlargement mean?
Give a example too
Enlargement is when you change the size of an original shape to make it bigger by multiplying it by a scale factor.
100
In your own words, what does scale factor mean?
Scale Factor is the ratio between the scale of a given original object and a new object
The number your multiply by
The number your multiply the original object by to make the scale drawing
200
Is the following relationship proportional or not?
Proportional relationship
200
Jessica bought 32 kiwi fruits for $16.
What is the constant of proportionality?
1 kiwi fruit cost $0.50
200
Jessica bought 32 kiwi fruits for $16.
Create an equation to represent this proportional relationship.
(Hint: x = the number of kiwi fruit, y= the cost)
y = 0.50 * x or y=0.50x or y=1/2 x
200
In your own words, what does Reduction mean?
Give a example too
Reduction is when you change the size of an original shape to make it smaller by multiplying it by a scale factor.
200
What is the scale factor that was used to create the scale drawing?
The scale factor is 2.
300
Is the following relationship proportional or non-proportional?
The relationship is non-proportional
300
Mason goes to Burger King to buy a burger. He knows that its $12 per burger.
What is the constant of proportionality?
The constant of proportionality is 12 or 12/1.
300
Dorothy bought 4 boxes of chocolates for $12.
A. Create an equation to represent the proportional relationship
B. How many boxes of chocolate can Dorothy buy if she only has $54.
A. y = 3x Because 12/4 =3
B. Dorothy can buy 18 boxes of chocolate with $54 because 54 = 3x
54/3 = 18 boxes of chocolate
300
If the scale factor is 3, would the scale drawing be an enlargement or a reduction?
The scale drawing would be an enlargement because the scale factor is greater than 1.
300
What is the scale factor that was used to create the scale drawing?
The scale factor is 1/4
400
Is the following relationship proportional or non-proportional? Explain why or why not?
The relationship is non-proportional because
63/2 = 31.5
112.50/ 5 = 22.5
400
What is the constant of proportional for this proportional relationship?
The constant of proportionality is 13 or 13/1
400
A faucet drips
2/3
gallon of water in 10 hours.
A. Create an equation to represent the proportional relationship.
B. How many gallons of water will the faucet drip in 30 hours?
C. How long will it take for the faucet to drip 1/2 gallon of water?
A. y= 1/15x
B. It will drip 2 gallons of water in 30 hours.
1/15*30=1/15 *30/1=30/15=2
C. To drip 1/2 gallon of water, it will take the faucet 7.5 hours.
1/2=1/15*x
(1/2)/(1/15)=1/2*15/1=15/2=7.5
400
Create the scale drawing on your own paper:
400
Find the missing length.
The missing length is 1.5 AU because the scale factor is 1/2
9.1 / 18.2 = 1/2
3 x 1/2 = 1.5
500
Is the following relationship proportional or non-proportional? Explain why or why not.
The relationship is proportional because
(1/6)/(1/2)=(1/6)*(2/1)=(2/6)=(1/3)
(1/3)/(1)=(1/3)*(1/1)=(1/3)
(2/3)/(2)=(2/3)*(1/2)=2/6=1/3
(4/3)/4 = (4/3)*(1/4)=4/12=1/3
500
What is the constant of proportionality for this proportion relationship?
The constant of proportionality is 16 or 16/1.
500
An energy company graphs the average number of rotations that a windmill makes each minutes for 4 minutes.
Which statement describes what the point (1,12) means in terms of rotations and minutes?
In 1 minute, the Windmill will rotate (turn) 12 times.
500
Create the scale drawing on your own paper:
500
Find the missing length.
The missing length is 38.4 yd because the scale factor is 1.5.
13.2 / 8.8 = 1.5
1.5 * 25.6 = 38.4