Unit Rate and Constant of Proportionality
Are they Proportional?
Writing Equaions
Smart Shopper
Graphing
100
Sam sends 18 emails in 6 minutes. What is the unit rate of emails per minute
What is 3 emails per minute.
100
An ice cream shop charges $2 for 1 topping and $5 for 3 toppings. Is the price proportional to the number of toppings?
What is no
100
A flowers grows 4 inches per day. Write an equation to represent the relationship between amount of growth and number of days.
What is y = 4x?
100
Determine the better buy and the unit price: Quick Picker-Upper sells 6 rolls for 6.69 Easy Wipe sells 11 rolls for $12.00.
What is: Easy Wipe. $1.09 per roll
100
Every proportional graph must pass through this point.
What is the origin?
200
Toby can bake 24 cookies with 4 cookie trays and 54 cookies with 9 cookie trays. What is the constant of proportionality
What is 6
200
These are two requirements for a graph to represent a proportional relationship
What is straight line, through the origin
200
Ally buys three shirts for a total of $99. Write an equation based on this situation where x = the number of shirts and y = the total cost.
What is y=33x
200
Determine better buy and unit price: a six-pack of soda for $1.50 or an eight-pack for $2.40
What is the six-pack of soda. $.25 per can
200
This type of graph always has a straight line.
What is a proportional graph?
300
A graph consists of the points (3,2) and (9,6). What is the unit rate of the graph?
What is 2/3 (two-thirds)
300
A factory can produce 20 iphones in 60 minutes, 50 iphones in 150 minutes and 4 iphones in 12 minutes. Is this a proportional relationship?
What is yes, 1 phone takes 3 minutes.
300
This is an example of a (proportional/non-proportional relationship): Debbie charges $16 per hour to babysit, plus an extra $5 traveling fee to get to the house.
What is a non-proportional relationship?
300
Determine better buy and unit price: Louis purchases three pairs of socks for $1.99 and Mary purchases four pairs of socks for $2.40.
What is Mary's purchase of four socks. $.60 per pair of sock.
300
A proportional graph is represented by this equation.
What is y=kx?
400
A jeep can drive 192 miles on 6 gallons of gas, and 448 miles on 14 gallons of gas. Using the constant of proportionality, how many miles could he drive on 10 gallons of gas?
What is 320 miles
400
Trey is observing the growth of a sunflower. After 1 day its height was 2 inches, after 4 days the height was 10 inches, and after one week the height was 2 feet. Is height proportional to amount of days?
What is no
400
A great white shark can swim 110 yards in 5 minutes. Write an equation to represent this relationship. y = distance swam x = minutes
What is y = 22x?
400
Which is a better buy and what is the unit rate? Danica buys 15 gallons of gas for $22.49 or Damian buys 20 gallons of gas for $26
What is: Damian. It is $1.30 per gallon of gas.
400
Name an ordered pair on a graph that has a constant of proportionality of 6.
What is (1,6)?
500
What is the constant of proportionality? Y 8 10 12 X 2 5 3
What is they are not proportional, there is no constant of proportionality.
500
A 12 oz box of crackers is $2.08, while a 16 oz box costs $2.99. Is price proportional to size? If yes, what is the unit rate, if not, which is the better buy?
What is Not proportional, the 12 oz box is a better buy ($.17/oz)
500
Trevor is going to the movies with 7 friends. The total cost for all of the movie tickets is $72. Write an equation based on this situation. y= Total cost x = number of people
What is y = 9x?
500
Determine the better buy and the unit rate: Nikki buys seven new fish for $59.96 George buys 10 fish for $90.00
What is: Nikki. $8.57 per fish.
500
Draw a graph based on the equation: y = 5x
See diagram.
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