Tables
Unit Rate
Graphs
Proportional Relationships
Test Preview
100
Two tables are given. Which table represents a proportional relationship? Provide your reasoning.
Table A
Hours 0 1 2 3
Miles 20 85 150 215
Table B
Hours 0 1 2 3
Miles 0 70 140 210
Table B represents a proportional relationship. The table starts at (0,0).
100
Santiago runs in the park each evening. The lap is 3 miles long, and it takes him 1/3 of an hour to complete it. At what speed does Santiago run?
9 miles an hour
100
What two things are true about a proportional graph?
1. It starts at the origin. (0,0)
2. It grows at a steady rate. ( It's a straight line)
100
The cost of dance lessons is $12 for 1 lesson, $22 for 2 lessons, and $32 for 3 lessons. Determine whether the cost is proportional to the number of lessons. Explain your reasoning.
No, its not proportional. Example response: 1 lesson costs $12 while 2 costs $11 each. If it the relationship was proportional, each class would cost the same.
100
The graph shows the total number of markers in 1, 2, 3, and 4 boxes of markers.
What is the unit rate?
8 markers per box
200
Identify the unit rate from the table below.
Hours 3 5 8
Pages Read 105 175 280
k= 35 pages per hour
200
Min Sun's hourly wage is $20 per hour. She works full time. (40 hours per week). How much does she earn in a week (pre taxes).
$800
200
Is this graph proportional or nonproportional? If it is, what is the unit rate? If it's nonproportional, what is your reasoning?
The graph is nonproportional, it does not start the origin.
200
One recipe for homemade playdough calls for 4 parts flour, 1 part salt, and 2 parts water. Which of the mixtures below are in a proportional relationship with this recipe? Select all that apply.
A) 1 cup flour, 1 cup salt, 1 cup water
B) 10 cups flour, 1 cup salt, 2 cups water
C) 6 cups flour, 112 cups salt, 3 cups water
D) 2 cups flour, 12 cup salt, 12 cup water
E) 8 cups flour, 2 cups salt, 4 cups water
C & E
200
The graph shows the average speed of two cars.
Indicate whether each statement is true or false.
Statement 1
The speed of car A has a constant of proportionality of 60.
Statement 2
Car B is traveling faster than car A.
Statement 3
The speed of car B has a constant of proportionality of 67.5.
Statement 4
The constant of proportionality of the speed of car A is greater than the constant of proportionality for the speed of car B.
Statement 5
Car B takes longer to travel the same distance as car A.
Statement 1 True
Statement 2 False
Statement 3 False
Statement 4 True
Statement 5 True
300
For three days, Gina and Tristan each made a certain number of ornaments to prepare for a craft show. The table shows the total number of ornaments each person had at the end of the day.
Day 1 Day 2 Day 3
Gina 12 24 36
Tristan 8 16 24
How many ornaments did each person make per day?
Gina: ___ ornaments per day
Tristan: ____ ornaments per day
Gina: 12 ornaments per day
Tristan: 8 ornaments per day
300
Matthew paid $5.45 to rent one movie. How much would it cost to rent nine movies at the same rate?
$49.05
300
Is this graph proportional or nonproportional? If it is proportional, what is the unit rate? If it's nonproportional, what is your reasoning?
The graph is proportional, it passes through the origin. Its constant of propotionality is 0.5
300
A concrete mix calls for 1 part water, 3 parts cement, and 2 parts sand. Which of the mixtures below are in a proportional relationship with this blend? Select all that apply.
A) 2 gal water, 6 gal cement, 4 gal sand
B) 4 gal water, 12 gal cement, 8 gal sand
C) 2.5 gal water, 8 gal cement, 5 gal sand
D) 3 gal water, 6 gal cement, 9 gal sand
E) 5 gal water, 10 gal cement, 10 gal sand
A & B
300
The Sanchez family and the Parker family are each taking road trips. The Sanchez family travels an average of 65 miles. The Parker family travels an average of 52.6 miles per hour. How far did each family travel after 8 hours?
Sanchez: 520 miles
Parker: 420.8 miles
400
The table shows the amount spent on tomatoes at three different stands at a farmer's market.
Stand Weight (lb) Cost ($)
A 3/4 2.00
B 1 1/4 3.45
C 5 1/2 14.85
Which stand sold their tomatoes at the least expensive price per pound, and what is that price? Round to the nearest cent if necessary.
Which stand sold their tomatoes at the least expensive price per pound? Stand A
What is that price?
$2.67
400
Noreen can walk 13 mile in 12 minutes. What is her average speed in miles per hour?
1 2/3 miles per hour
400
Write an equation from the graph. Using y=kx.
y=3/4x
400
The relationship between the number of slices of pizza purchased and the number of students served is shown in the graph. Which of the following statements are true? Select all that apply.
A) The relationship is proportional.
B) The constant of proportionality is 2.
C) The point (9, 18) satisfies this relationship.
D) The relationship is not proportional.
E) The constant of proportionality is 1/2.
A, B, & C
400
On average, Leah's car gets 31.4 miles on every gallon of gasoline. If she fills up her tank for $2.18 per gallon, how much will it cost her to drive 358 miles?
$24.85
500
The table shows the time and distance Hector walked in a 5-kilometer-long walk for charity.
Distance (km) 1.5 2 4.5 5
Time (min) 13.5 ? ? ?
The distance is proportional to the time walked. Find and interpret the constant of proportionality. Then find the time it would take him to walk 2 kilometers, 4.5 kilometers, and 5 kilometers.
k= 9
Distance (km) 1.5 2 4.5 5
Time (min) 13.5 18 40.5 45
500
On a recent trip, the Baxter family drove 143 miles and used 4 2/3 gallons of gas. How many miles per gallon of gas did they travel?
30 9/14 miles per gallon
500
Which car will get to its destination first? How many mph is it travelling?
The Blue Car. 150 mph.
500
The classrooms in the Oakhurst School District are painted every summer. Seven gallons of paint are needed to paint 3 classrooms. How many more gallons are need to paint the 129 classrooms at North High School than the 48 classrooms at Edgewater Elementary? Assume the situation is proportional.
189 gallons
500
Deanna bought 7 apples for $4.41.
Part A: Find the unit rate. Then use the unit rate to write an equation relating the cost in dollars c to the number of apples use a for apples.
Part B: How much will it cost for 18 apples?
Part A:
c=0.63a
Part B:
$11.34