Unit Rates & Table Completion
A grocery store sells 5 apples for $3.00. What is the unit rate per apple?
$0.60
Select Three: Which of the following sets of coordinates represent a proportional relationship?
A. (1, 3), (2, 6), (3, 9)
B. (1, 2), (2, 3), (3, 4)
C. (0, 0), (5, 10), (10, 20)
D. (2, 5), (4, 10), (6, 15)
E. (0, 2), (1, 3), (2, 4)
A, C, D
Drink Mix: Mix 2 scoops of powder with 6 cups of water. Represent this on a double number line for 1, 2, and 3 scoops.
Sugar: 1, 2, 3 / Water: 3, 6, 9
Error Analysis: In a ratio table where the unit rate is $4 per book, one column shows (5 books, $24.00). Why is this incorrect?
$24 / 5 = 4.80$ (Rate is 4)
A car travels 120 miles in 2 hours. At this rate, how far does it travel in 1 hour?
60 miles
Does a graph that passes through (1, 5) and (2, 10) but starts at (0, 2) show a proportional relationship? Explain.
No (does not start at 0,0)
Double Number Line: If the "Sugar" line jumps by 3 and the "Water" line jumps by 12, what is the unit rate of water per sugar?
4 cups per scoop
A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 1 cup of flour, how much sugar is needed?
1.5 cups
Table Completion: A printer prints 15 pages every 3 minutes. Fill in the missing values:
(1 min, __ pages),
(3 min, 15 pages)
(5 min, __ pages)
5 pages; 25 pages
Graph Analysis: Identify if a straight line passing through the origin $(0,0)$ is proportional or non-proportional.
Proportional
If a graph shows the points (0,0), (2,4), and (4,8), what is the unit rate?
2
A biker rides 24 miles in 3 hours. What is the biker's unit rate in miles per hour?
8 mph
A 12-ounce bottle of juice costs $1.80. What is the cost per ounce?
$0.15
Table Check: Which table shows a constant unit rate of $0.50 per item?
Table A: (2, $1.00), (4, $2.00)
Table B: (1, $0.50), (3, $1.00)
Table A
True or False: All linear graphs (straight lines) represent proportional relationships.
False (must pass through origin 0,0)
Notebooks: Notebooks are sold for $1.25 each. Complete the table:
(2 notebooks, $), (4 notebooks, $), (__ notebooks, $7.50)
$2.50; $5.00; 6
If 3 pounds of bananas cost $1.35, what is the cost of 1 pound?
$0.45
A snack mix uses 2 parts almonds to 5 parts raisins. Which ratio is equivalent: 4:10 or 5:8?
4:10
Describe the two requirements for a graph to be proportional.
Straight line AND passes through (0,0)
Nugget Stand: A stand sells 10 nuggets for $5.00. How much would a basket of 4 nuggets cost?
$2.00