GRAPHS
EQUATIONS
TABLES
VERBAL DESCRIPTIONS
SCALED COPIES/ DRAWINGS
100
IS THIS GRAPH PROPORTIONAL? WHY
YES BECAUSE IT IS A STRAIGHT LINE THAT GOES THROUGH THE ORIGIN
100
DOES Y=X/9 REPRESENT A PROPRTIONAL RELATIONSHIP? EXPLAIN
YES, BECAUSE IT CAN BE REWRITTEN AS
Y= 1/9 (X) WHERE THE C.O.P. IS 1/9
100
Lin and her brother were born on the same date in different years. Lin was 5 years old when her brother was 2.
DOES THIS TABLE REPRESENT A PROPORTIONAL RELATIONSHIP?
NO, BECAUSE WHEN LIN WAS 0 YEARS OLD, HER BROTHER WAS NOT ALSO 0 YEARS OLD.
100
Susan is making $500 an hour. Is the amount of money (m) she makes, proportional to the hours (h) she works?
yes, because the Constant of Proportionality
100
Which figures are scaled copies of the original A?
Figures 2 and 4 are scaled copies.
200
IS THIS GRAPH PROPORTIONAL? WHY?
YES BECAUSE IF YOU CONNECT THE DOTS, IT CREATES A STRAIGHT LINE THAT GOES THROUGH THE ORIGIN.
200
DOES Y=13(X) REPRESENT A PROPORTIONAL RELATIONSHIP? IF YES, WHAT IS THE CONSTANT OF PROPORTIONALITY?
YES, THE CONSTANT OF PROPORTIONALITY IS 13.
200
Does this relationship represent a proportional relationship
x y
5 1 1/4
6 1 1/2
7 1 3/4
8 2
yes, the constant of proportionality is 1/4
200
*** Double Jeopardy ***
Ms. Baxter Gregory has $20 in her account in January and saves $1,200 every month for a year. Is the amount in her account proportional to the months? Explain.
No because she starts at $20 instead of 0 dollars
200
Polygon B is a scaled copy of Polygon A.What is the scale factor from Polygon A to Polygon B?
2
300
INTERPRET THE POINT (3,9)
3 gallon of water cost $9
300
If Jessica is running 5 miles an hour, create an equation to represent her distance (d) after (h) hours.
d=5h
300
Does this table represent a proportional relationship? Explain.
Distance(km) time (hours)
1 5
0 0
4 10
3 8
No because they are not equivalent ratios/ not moving at a constant rate.
300
Lisa ran 46.5 miles in 3.1 hours, what is her constant of proportionality?
15 miles in one hour
300
DETERMINE THE MISSING SIDE LENGTHS OF THE SCALED DRAWING.
3 AND 5
400
WHAT IS THE UNIT RATE IN THIS GRAPH?
1 gallon of water cost $3
400
Solve for y= 2.49(x), given that x= 6.
y=14.94
400
*** Double Jeopardy***
Complete the following table:
# of bottles returned Money received ($)
0
3
8 0.48
0.84
0, 0.18, 14
400
Jasper is baking cookies for his friends. He mixes flour and milk in different ratios. Jasper mixes 3/4 cups of flour and 3/2 cups of milk. If Jasper has 12 cups of flour, how much milk would he need to make his cookies?
24 cups of milk
400
A model airplane is built at a scale of 1IN to 72IN. If the model plane is 8 inches long, how many feet long is the actual airplane?
576 inches = 48 feet
500
HOW MUCH GALLONS OF WATER WILL WE HAVE IF WE PAID $33
11 GALLONS
500
If Aria was running at a steady pace of 3.2 miles an hour, and Lucas is running at a constant speed of 4 miles an hour, who is running at a faster speed, and by how much?
Aria is running at a faster speed because she is running 0.8 miles faster than Lucas
500
What is the output when the input is 20?
x y
5 1 1/4
6 1 1/2
7 1 3/4
8 2
y=5
500
Rectangle A has a length of 8 3/4 inches and a width of 3 1/2 inches. Rectangle B has a length of 13 3/4 inches and a width of 5 1/2 inches.
Determine whether the lengths and widths of the two rectangles are proportional.
yes and the Constant of Proportionality is 1.57
500
The scale factor is 3.2
Original is a square with a side length of 7cm.
Create and determine the area of the scaled drawing.
501.76 cm2