AnswersHCISD-Mathematical Models with Applications B-CR SUMMEREquations of Proportional Relationships

Equations of Proportional Relationships — Unit test Answers

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Ming used the calculations shown to find out how much he would spend on 6 pounds of ground beef if 10 pounds of ground beef cost $25.00.What was Ming’s error?

Question illustration
A
He determined pounds per dollar by dividing 10 by 25 but wrote the unit rate as a dollar value.
B
He divided the numerator and the denominator of the fraction by 25.
C
He made a mistake when finding the quotient of 10 pounds and 25 dollars.
D
He made a mistake when finding the product of $0.40 and 6.
2
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What proportion results in the equation ?

Question illustration
A
StartFraction 9 over n EndFraction = StartFraction 10 over m EndFraction
Option A
B
StartFraction 9 over m EndFraction = StartFraction 10 over n EndFraction
Option B
C
StartFraction 9 over 10 EndFraction = StartFraction m over n EndFraction
Option C
D
StartFraction 10 over 9 EndFraction = StartFraction n over m EndFraction
Option D
3

In which of these cases is each stamp worth the most?

A
7 of the same stamp worth a total of $3.15
B
8 of the same stamp worth a total of $3.20
C
10 of the same stamp worth a total of $4.10
D
16 of the same stamp worth a total of $4.80
4

Holly earns $30 for babysitting 5 hours. She earns $28 when she does chores for 4 hours. Which compares the unit rates?

A
The unit rate for babysitting is $2 per hour more than the unit rate for doing chores.
B
The unit rate for babysitting is $1 per hour more than the unit rate for doing chores.
C
The unit rate for doing chores is $1 per hour more than the unit rate for babysitting.
D
The unit rate for doing chores is $2 per hour more than the unit rate for babysitting.
5

Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.Cost of BindersIf all of the binders cost the same amount, which statement is true?

Question illustration
A
It will cost $12 for 18 binders.
B
It will cost $20 for 30 binders.
C
It will cost $42 for 28 binders.
D
It will cost $48 for 48 binders.
6

Mike and Julie are making slime. The table shows the number of drops of blue food coloring and the number of drops of red food coloring they use in each batchDrops of Food ColoringNumber of blue dropsNumber of red drops20440860128016What is the constant of proportionality of the ratio of the number of blue drops used to the number of red drops used?

A
0.2
B
0.5
C
2
D
5
7

Breanna set up her media player and created a graph to show what she saved on it. What does point A represent on the graph?

Question illustration
A
Breanna has 40 songs for every 3 games on her media player.
B
Breanna has 2 songs for every 3 games on her media player.
C
Breanna has 37 more songs for each game on her media player.
D
Breanna has 1 more game for each song on her media player.
8

Each serving of a cereal is 80 calories. Which expression can be used to find the number of calories in 3 servings?

A
80 times 3
Option A
B
80 divided by 3
Option B
C
3 divided by 80
Option C
D
80 minus 3
Option D
9

Consider the two graphs below.Which statement best describes the graphs?

Question illustration
A
Graph 1 represents a proportional relationship, but graph 2 does not.
B
Graph 2 represents a proportional relationship, but graph 1 does not.
C
Both graph 1 and graph 2 represent proportional relationships.
D
Neither graph 1 nor graph 2 represents a proportional relationship.
10

Which is equivalent to “12 chairs for every 3 tables”?

A
12 chairs per 3 tables
B
3 chairs for every 12 tables
C
12 chairs for each table
D
3 tables per chair
11

Which equation represents the same proportional relationship as the graph?

Question illustration
A
y = three-fifths x
Option A
B
y = five-thirds x
Option B
C
x y = three-fifths
Option C
D
x y = five-thirds
Option D
12

According to the information in the table, who is the fastest typist?Words Typed by Four TypistsTypistWords TypedMinutes TypingElla64016Harper45015Owen56014Shaquille54012

A
Ella
B
Harper
C
Owen
D
Shaquille
13

Josiah’s parents pay him for each chore he completes. He created a table to show his earnings each week for the past month.Josiah’s Earnings Week 1Week 2Week 3Week 4Chores Completed4645Money Earned$12$18$12 Which graph correctly depicts his earnings including the last week?

A
On a coordinate plane, a graph titled Josiah's Earnings has chores completed on the x-axis and Money Earned on the y-axis. Points (4, 12), (5, 15), and (6, 18) are plotted.
Option A
B
On a coordinate plane, a graph titled Josiah's Earnings has chores completed on the x-axis and Money Earned on the y-axis. Points (12, 4), (15, 5), and (18, 6) are plotted.
Option B
C
On a coordinate plane, a graph titled Josiah's Earnings has chores completed on the x-axis and Money Earned on the y-axis. Points (4, 12), (6, 2), (6, 18), and (8, 8) are plotted.
Option C
D
On a coordinate plane, a graph titled Josiah's Earnings has chores completed on the x-axis and Money Earned on the y-axis. Points (4, 12), (5, 18), and (6, 18) are plotted.
Option D
14

This graph shows a proportional relationship between the number of tulips and the number of daffodils in gardens planned by the Lindy Landscaping Company.Lindy Landscaping GardensWhat is the constant of proportionality?

Question illustration
A
0.2
B
0.5
C
2
D
5
15

Byron earns $11.00 per hour. How many hours will Byron have to work to earn $143.00?

A
7.7 hours
B
13.0 hours
C
14.3 hours
D
15.7 hours

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