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
Christian drives 45 miles in 3/4 hours. What is his speed in miles per hour?
What is 60 miles per hour
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
Tommy buys 7 candy bars for $14. What is the unit price per candy bar?
$2/candy bar
Natalie walked 1/5 mile in 1/3 hour. Find the unit rate. How fast did she walk, in miles per hour?
3/5 miles per hour
what are the 2 ways to tell if a graph is proportional
if the line is straight
goes through the origin
Is y= ¾x proportional? If so what is the constant of proportionality?
proportional
k= 3/4
Is the table proportional?
No
Given the table is proportional, find the constant of proportionality.
K = 13
Henry is making a corns grits recipe that calls for 1/4 cup of corn grits for every 2/3 cup of water. How much water will he need if he uses 1 cup of corn grits?
What is 2 2/3 cups of water
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
A plant grows 3/5 inches in 2 weeks. How many inches will it grow in one week?
3/10 inch per week
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
Which is a better deal?
5 shirts for $97.45 or 3 shirts for $65.85
5 shirts for $97.45