Random Mix
Equations
Tables
Word Problems
MUST DEFINE VARIABLES
MUST DEFINE VARIABLES
Graphs
100
C = 7 t
Write this equation in a different way using the OTHER constant of proportionality
t= 1/7 C
100
What is the constant of proportionality
y=3x
3
100
Is this relationship proportional? If so what is the constant of proportionality?
Yes, 1.25
100
For one sandwich is cost $5.75, for 3 it cost $17.25, and for 6 it cost $34.50. Is this relationship proportional? If so what is the constant of proportionality?
Yes it is proportional
COP is 5.75
100
When we are trying to decide if a graph is proportional we look for two things. They are.....
Straight line
Goes through the origin at (0,0)
200
Two lines are on a graph representing the cost of cotton vs the cost of silk . The silk line is steeper and closer to the Y-axis than the cotton line. Which one is more expensive?
Silk
200
Is this equation proportional
0.5x+2=y
No, you cannot have an added quantity, the relationship will not be proportional.
200
Is the relationship between T-shirts and cost proportional? If so, what is the COP?
T-Shirts Cost
1 8
2 10
3 16
No
2 T-shirts Must cost 16 dollars!
200
It costs $8.97 for 3 packages of turkey, $17.93 for 6 packages, and $26.91 for 9 packages. Is the relationship proportional? If so, what is the constant of proportionality, and what does it represent?
Yes, 2.99 which would be the cost per package of Turkey
200
A graph has the following lines plotted (18, 6) (15, 5) (12, 4) (9, 3) (6, 2) (3, 1). Is it proportional? If so what is the constant of proportionality.
1/3
300
33 lbs of apples cost $132. How many lbs of apples can you get with $16 ?
4
300
Write an equation for the proportional relationship. (1, 1.25) (2, 2.5) (3, 3.75) (4, 5) (5, 6.25)
Hint:
What are we multiplying the x by each time to get the y?
y=1.25x
300
Is the relationship between Height and distance proportional? If so, what is the COP?
Distance Height
2 6
3 9
5 15
Yes, The COP would be 3
300
Jake is selling boxes candy bars to raise money for his baseball team. He makes $6 for each box of candy bars he sells. Write an equation to represent the situation. AND How much would Jake make if he sold 17 boxes?
y = 6x where x is the number of boxes and y is the money raised.
$102.00
300
Is this graph proportional? If so, what is the constant of proportionality?
1.5
400
How do you find a Constant of Proportionality given a point (x, y)?
y/x= COP
400
Identify the constant of proportionality for the relationship represented in the equation y = 9/5x. Write the equation in another way.
Hint: Use the reciprocals
9/5.
x= 5/9y
400
Water is being filled in a tank. Is the relationship between time and gallons of water proportional? If so, what is the COP?
Time Gallons
1 1
2 3
5 0
NO, two reasons. It does not go through the origin and 1/1 is not the same as 3/2.
400
George and Lucy rode the bus and it cost them $11.78. Write an equation to represent this situation. AND How much would it cost for 5 people to ride the bus?
y = 5.89x where y is the cost and x is the number of people.
It would cost 5 people $29.45
400
Is the graph proportional? If so, what is the constant of proportionality?
yes, 4.
500
Mary and Joe are collecting food for the drive.
Joe collects 27 lbs of food every 3 weeks. Mary uses an equation to show what she collects.
y = 8.5x
Where x is the number of weeks and y is total number of lbs that she collects after x number of weeks.
Joe collected more at 9 lbs per week while mary collected 8.5 lbs per week
500
A ferris wheel can accommodate 40 people in 15 minutes. How many people could ride the ferris wheel in 6 hours?
960 people
500
Is the relationship between Speed and distance proportional? If so, what is the COP?
SPEED DISTANCE
0 1
2 4
4 8
No, It will not go through the origin. It is (0,1) where it should be (0,0)
500
Rachel's family of 4 went to the zoo and it cost them $52.00 for admittance. What is the Constant of Proportionality? AND What does it represent?
$13, it represents The cost of admittance for one person.
500
Which options represent proportional relationships and why?
From the PROPORTIONAL ONES Which Option is the most expensive ?
Option B is not proportional because it does not go through the origin and option A is more expensive than Option B.