graphing proportional relationships/ scale factor
equations of proportional relationships
identifying proportional relationships
Solve
This and That
100
what is the ordered pair of the origin?
(0,0)
100
Is this equation proportional? y= 3x
Yes
100
Are these ratios proportional?
5/11 and 6/12
No
100
V=18.3
100
What is the vocabulary word with this definition:
A rate that is simplified where the denominator is 1.
Unit Rate
200
Does the graph represent a proportional relationship? How do you know? What is the cost for 3 tons of rock?
No, it doesn't go through the origin, cost=$3,600
200
Is this equation proportional?
y= 4x + 10
Not proportional
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
Round to the nearest hundredths
7.7/3.6 = 2.3/b
b = 1.08
200
What is 1/3/15
1/45
300
Using this graph, What is the constant of proportionality? What does it mean?
1/6
it means there is 1/6 pound on the moon for every 1 lb. on earth.
300
Darren bought 3 shirts for $44.10. Each shirt cost the same amount. Write the equation for the proportional relationship between cost (C) and # of shirts (S)
C= 14.70s
300
The ratio of students to parents at a basketball game is 6 to 5. Is that proportional to 170 parents and 204 students?
Yes
300
300
10/7
1/8
400
Is the graph proportional? How do you know? If so, what is the COP?
Yes, straight line through origin, COP=15
400
Keisha makes 9 dollars for each hour of work. Write an equation to represent her total pay (P) after working (H)hours.
P=9H
400
Does the table show a proportional relationship? How do you know?
No, they have different unit rates.
2/8=1/4:1
3/12= 1/4:1
5/20= 1//4:1
32/8= 4:1
400
On the blueprint of a house, 35 millimeters represents 10 meters. The actual length of the living room is 9 meters. What is the length on the blueprint?
31.5 millimeters
400
500
A rock climber is 9 meters above the ground when she begins her descent. She descends 3 meters every minute. Graph the line that show the relationship between x (time in minutes) and y (distance). How many meters high will she be after 2 minutes?
3 meters high
500
Is the table proportional? If so, what equation could be written to show the relationship between cost (Y) and # of tickets (T)
Proportional
Y=1.50T
500
Is the table proportional? How do you know?
If so, what belongs in the blank y=___x
Yes
same unit rates/there is a constant of proportionality
y=1.5x OR
Y= 3/2x
500
2 miles per day
500
Mark has to make a scale drawing of the football field at his school. He has chosen the scale 1/2 inch = 5 ft. The football field is 360 ft. by 160 ft.
How big will the field be on his scale drawing?
36 inches by 16 inches
576 square inches