graphs
a proportional graph has these two things...
1. a straight line
2. touches the origin
the values in the table show the relationship between times measured in seconds, and distances measured in meters.
SECONDS METERS
5 20
10 40
15 60
20 80
What is the unit rate of the relationship shown in the table? INCLUDE UNITS
4 meters per second
A box contains 12 1/2 square feet of tiles and costs $40.21. What is the approximate price per square foot?
$3.22 per square foot
There is an invisible graph that shows the Cost C in dollars of S pounds of strawberries, a proportional relationship.
Explain what the point (5, 22.5) means on the graph.
It means that 5 pounds of strawberries costs $22.50.
you can find the unit rate on a graph by............
dividing a y coordinate by the x coordinate
NUMBER OF SONGS TOTAL COST
3 $3.21
5 $5.35
8 $8.56
At this rate, what is the cost per song?
$1.07 per song
a small animal can eat an amount of food that is equivalent to 2/5 its body weight in 1/2 hour. At this rate, what fraction of its body weight in food can the animal eat in one hour?
4/5 its body weight in one hour
WHERE IS MS. HALL FROM?
D.C. - she went to CHEC!
graph these points on the back of your whiteboard:
(-4, -4)
(-1, -1)
(1, 1)
(4, 4)
Do these points represent a proportional relationship?
Yes, they make a straight line and pass the origin.
The table represents a proportional relationship between x and y
X Y
3 33
5 44
7 77
Based on the values in the table, complete the sentence shown.
When x increases by 1, y increases by ....
11
WHERE IS MS. AHERN FROM?
Upstate / Rochester, NY
There is an invisible graph that shows the miles, m, a car can drive in h hours. What does the point (6, 360) mean on the graph? What is the unit rate?
That the car can drive 360 miles in 6 hours. The unit rate is 60 miles per hour.
draw a proportional graph
x
the table below represents a relationship between the time a turtle walks and the distance the turtle travels.
TIME AND DISTANCE TURTLE WALKS
TIME(MINUTES) DISTANCE (FEET)
5 120
20 480
30 720
50 1,200
Write an equation that could model the table above.
24x = y
the amount Timmy charges for shoveling (d) driveways in the winter is proportional to the amount of time it takes him (h). Timmy charges $40 for a driveway that took him 2.5 hours to shovel.
Write an equation to represent this situation.
16h = d
which ordered pairs are in a proportional relationship with (0.2, 0.3)? Select each correct answer.
A. (1.2, 2.3)
B. (2.7, 4.3)
C. (3.2, 4.8)
D. (3.5, 5.3)
E. (5.2, 7.8)
C, E
find the unit rate (k = y / x), if the unit rate is the same, they are in a proportional relationship with each other.
draw a non-proportional graph and explain WHY it is not proportional
x
an empty tank is filled with water at a constant rate. the table shows w, the number of gallons of water in the tank after m minutes.
WATER IN THE TANK
Number of Minutes Number of Gallons of Water
(m) (w)
4 66
6 99
20 330
Write an equation to represent the relationship shown in the table.
w = 16.m
a person operating a machine can mow 0.75 acres in 1/2 hour. What is the rate, in acres per hour, that the person can mow? Write your answer as a decimal.
1.5 acres per hour
WHAT IS MS. AHERN'S PET?
Black cat named Merle