Constant of proportionablity
What is constant of proportionality
Constant of proportionality is the constant value of the ratio between two proportional quantities
What is the constant of proportionality for these given points?
(0,0) (2,6) (4,12) (6,18)
K=6/2
K=12/4
K=18/6
K=3
What are the missing values?
x values y values
1 2
2 4
? 6
X=3
Monique has 14 cases of water in her car and they each weigh 2 gallons, How many gallons of water are in her car in total?
Constant of proportionality = 2
X represents the number of cases
14x2=28 gallons
How do you solve percent problems
Percent x Base = Amount , and solve for the unknown numbers
What is the formula for constant of proportionality
K=y/x
What is the constant of proportionality given these points on a while if x=1 then y is your constant rate of change
6=12/?
6=1/?
6=3/?
6=12/2
6=1/6
6=3/18
What is the constant of proportionality?
x values y values
16 4
24 6
28 7
36 9
44 11
constant is 4
How do you solve constant of proportionality
First identify the x and y variables then use the equation k = y รท x to find the constant of proportionality.
Keisha has 80% of the 60 pencils she gave out, how many pencils does she have left
she gave out 48 pencils
Cut out a square that is 2cm wide and 6cm long.Use the formula to find the constant of proportionality
K=3
Find the constant of proportionality if the graph points are,
(0,0) (1,4) (2,8) (3,12) (4,16)
the constant is 4
What is the missing values and the constant of proportionality
x values y values
15 3
30 ?
45 ?
60 12
y values= 6,9
constant is 5
A shoe store donated a pair of shoes 4 days through the week to give to charity on Tuesday they gave away 4 pairs of shoes, on Wednesday they gave away 8 and one Friday they gave away 12, what is the constant of proportionalitya
Constant of proportionality is 4
Ella went shopping and bought a bouquet of flowers that cost $70 dollars but she has a 20% discount, how much would the flowers cost?
They flowers would now cost $14 dollars
How do you know if two ratios have a proportional relationship
Write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
When x is 1 on a line your y value for that point is your constant, what is the constant of proportionality? Given these points on a line what is the constant of proportionality?
(0,0) (1,15) (2,30) (3,45) (5,75)
K=15
What are the missing values and what is the constant of proportionality
x values Y values
48 ?
? 5
? 8
144 ?
156 13
X values: 60,96
y values: 4,12
constant is 12
A cookie shop gives away cookies 5 days of the week, Every Monday they give away 3 cookies, Tuesday 6 cookies, Wednesday 9 books , Thursday 12 and Friday 15, is the relationship proportional? If so what is the constant of proportionality
Yes it is and the constant of proportionality is 3
Micheal was giving away 60 cookies, each cookie individually cost $3.00 in total the cookies would cost $180.00, he gives a 20% discount, How much would the cookies cost?
They cookies would cost $36 dollars
What does the constant of proportionality depend on
The constant of proportionality depends on the type of proportion between the two given quantities
What is the constant rate of change when given these points?
(0,0) (3,36) (6,72) (9,108)
K=12
What are the missing values and the constant of proportionality?
x values? y values
30 2
60 ?
90 6
? 8
? ?
210 ?
x values: 120,150,
y values:4,10,12
constant is 15
Tyrone has 32 Cartons of milk, each carton of milk weighs 2 gallons, If you have 120 gallons, how many cartons do you have?
Constant of proportionality = 2
120/2=60 cartons
Brenda went shopping and bought some groceries and her total price came to $250.00 and she had a coupon for 30%, what is her final price
Her final price is $75