Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Writing Equations
Random
100
what coordinate point is the origin?
0,0
100
Is this equation proportional? y= 3x
If so what is the constant of proportionality? (K)
Yes
k=3
100
Which table does not show a proportional relationship?
A
100
Taylor Swift is planning her concert merchandise pricing. She starts with a base price of $50 for a t-shirt and increases the price by $15 for each special design element added. Write an equation in slope intercept form that represents the total price (y) based on the number of design elements (x).
y=15x+50
100
Solve: 82
64
200
Is this relationship proportional?
No
200
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= 4x + 10
Not proportional
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
In Roblox's popular game "Restaurant Tycoon," a player starts with 100 coins and earns 25 coins for each customer served. Write an equation in slope intercept form where y represents the total coins and x represents the number of customers served.
y= 25x+100
200
Solve: 53
125
300
what are 2 ways to tell if a graph is proportional
if the line is straight
goes through the origin
300
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= ¾ x
proportional
k= 3/4
300
Is the table proportional?
No
300
At a music festival food stand, hot dogs start at $4 each, and each topping costs an additional $0.75. Write an equation in slope intercept form where y represents the total cost and x represents the number of toppings added.
y=0.75x+4
300
What is the formula for the area of a trapezoid?
A=1/2(b1+b2)h
400
Is this graph proportional?
YES
400
Using this graph, What is the equation? 
y= 1/6x
400
Is the table proportional?
Yes it is proportional
400
A local pizza shop is creating a new menu. Each pizza starts at $12 and increases by $2.50 for each special topping. Write an equation in slope intercept form where y represents the total cost and x represents the number of toppings.
y=2.50x+12
400
On the page "making predictions" what is the example talking about under "show your stuff"?
Lightbulbs
500
Write an equation that relates gallons of water used (y) to time (x).
y= 5x
500
Write an equation for the table given the table is proportional.
Y= 3/2 x
500
Write an equation that represents the proportional relationship between pounds of apples (p) and total cost (c).
c = 3p
500
Mackenzie is signing up for a membership at Planet Fitness. They are currently running a special for $5 off your first month. If the membership is $15 a month, write an equation that represents the amount of money y, Mackenzie will spend over x time.
y=15x-5
500
When simplifying fractions, what are the two methods we use?
Chainsaw vs knife methods