Unit Rate
Direct Variation
Identify P/NP
Non-Proportional
Proportional
100
Aubrey spends $45 on 3 pizza. What is the cost per pizza?
$15 per pizza
100
The cost of cupcakes varies directly with how many you buy. Mary Kate buys 12 cupcakes for $36. How many cupcakes could she buy for $84?
28 cupcakes
100
What is the y-intercept of a proportional situation?
0
100
How do we find our y-values if we are given our x-values and a linear equation?
Plug in our x-values into the linear equation and solve for our y-values.
100
Melany can run 0.5 miles in 5 minutes. Is this a proportional situation? Why or why not?
Yes! There is no starting point. She can run 0.1 miles per minute.
200
How do we find the unit rate of a situation?
y/x
200
Suppose y varies directly as x, and y = 21 when x = 3. Find x when y = 42.
x = 6
200
Is the following situation proportional or non-proportional?
A 24-pack of sparkling water costs $10.50.
Proportional
200
Create a table using the x values of -5, 0, 5, and 10 and the linear equation y = -2x + 0.5
200
FREE PASS
EVERY TEAM GETS 200 POINTS! YAY!
300
Gwen spent $12.50 to purchase 5 bracelets. Each bracelet cost the same amount. Which graph has a slope the best represents this rate?
C
300
The height Maryam can jump varies directly with how tall she is. If she can jump 18 inches when she is 3.8 feet tall, how high could she jump when she's 5.3 feet tall?
25.12 inches
300
Describe the process to determine if a table is proportional or non-proportional.
Do y/x to determine if every (x,y) equals the same ratio (proportional) or not (non-proportional).
300
Ms. Schrank bought markers at a cost of $3 per set and she used a $2-off coupon toward the total cost of the markers bought. Which table shows the relationship between x, the number of sets of markers bought and y, the total cost of the markers?
A
300
On a map scale, 2 inches represents 60 miles. Which graph best shows the relationship between x, the number of inches on the map, and y, the actual distance in miles?
C
400
The cost of 6 pencils at a store is 30 cents. Each pencil costs the same amount. Which graph has a slope that best represents the value of the cost per pencil?
F
400
Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds after you see the lightning, you are about 2 miles from the lightning. How far from the lightning would you be if you hear thunder 6 seconds after you see lightning?
1.2 miles
400
Does the graph represent a proportional relationship? Why or why not?
No, it is non-proportional because b=3
400
Lisa bought a puppy that was 4.5 pounds and it grows at a constant rate of 0.75 pounds per week. Create a table that describes the slope of the situation where x is the number of weeks and y is total weight of the puppy.
*Answers will vary depending on x-values*
400
The approximate volume in milliliters, m, for a volume of f fluid ounces is equal to 29.57 times the value of f. Which table represents this relationship?
J
500
An oil well contractor drills a hole 7 meters deeper every 2 hours. Which graph has a slope that best represents this rate?
H
500
The number of fish Alex catches varies directly with how much time he spends fishing. He can catch 8 fish in 2.4 hours. How much time would it take for him to catch 13 fish?
3.9 hours
500
Does the table represent a proportional or non-proportional situation? Why?
Non-proportional because when you do y/x you get a different answer each time.
500
Juan is building a treehouse. He has already used 230 boards and plans to use 13 more boards each day. Create a table showing how many boards Juan will use over the next 5 days.
500
Describe the process of determining which graph matches the information in the question when working with proportional situations.
*Answers will vary*