what coordinate point is the origin?
0,0
Is this equation proportional? y= 3x
If so what is the constant of proportionality? (K)
Yes
k=3
Are these ratios proportional?
5/(15)and6/(18)
Yes
How do you calculate the Constant of Proportionality?
y/x
Elijah is designing his garden. For every 3 pink tulips, he plans to plant 4 red roses. Using only these two types of flowers, he plans to plant 20 roses in his garden. How many tulips will Elijah use?
15
When you do
y/(x)
, what are you finding?
the unit rate, K, or Constant of Proportionality
Is y= 4x + 10 proportional? If so what is the constant of proportionality?
Not proportional
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
Solve
n=3.8
Isabella is buying candy bars for 3 of her friends, costing her a total of $3.15. What is the constant of proportionality (aka: unit rate) in this situation?
$1.05
what are the 2 ways to tell if a graph is proportional
if the line is straight
goes through the origin
The Anderson family was taking a road trip. They traveled 392 miles in 7 hours. Write an equation relating their miles traveled, y, and the number of hours, x.
y = 56x
Is the table proportional?
No
Given the table is proportional, find the constant of proportionality.
K = 13
Morgan pays $1.25 for a soda for each of her friends. If she is buying soda for 4 friends, how much will she spend?
What is $5
Is this graph proportional?
YES
Using this graph, What is the equation?
y= 1/6x
Is the table proportional?
Yes it is proportional
John reads 6 pages in 12 minutes. How long does it take him to read a whole page?
2 minutes
Given a square with side length of 9.5 inches, what is the area in square centimeters, rounded to the nearest tenth? Use 1 inch = 2.54 centimeters.
582.3 centimeters
If a graph goes through the origin, and passes through (3, 15), what is the constant of proportionality?
k = 5
Write an equation for the table given the table is proportional.
y=3/(2)x
a) yes
8.75 hours
Carpet Max advertises that they can install 1,260 square feet of carpet in 2 1/4 hours. They charge $40 per hour for a special install of 3,360 square feet. How much will they charge?
$240