AnswersPre-Algebra A-CRUnit Rates

Finding a Constant of Proportionality Answers

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Nia plans to put enough money in the bank each week for 100 weeks so that the amount in the bank is always proportional to the week number. On week 8, she had $20.00. On week 12, she had $30.00. How much money will be in the savings account on week 100?

Question illustration
A
$40
B
$66
C
$225
D
$250
2
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The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?Number of rolls68Baker’s dozenPrice ($)$3.60$4.80$7.20

A
$0.55
B
$0.60
C
$0.70
D
$0.75
3

Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be about 56 lb. Approximately what would Vince weigh on the other planet?

A
40 lb
B
64 lb
C
76 lb
D
90 lb
4

A constant of proportionality can also be considered a(n)

A
unit rate.
B
y-value.
C
x-value.
D
ratio.
5

Sharon graphed the formula for converting weight from kilograms to pounds.If an item weighs 45 kilograms, what is its weight in pounds?

Question illustration
A
20
B
63
C
90
D
99
6

The second number in an ordered pair of numbers that corresponds to a point on a coordinate system is the

A
y-value.
B
x-value.
C
rate.
D
constant of proportionality.
7

Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix. What is the constant of proportionality for the ratio of pancake mix to milk?

A
Two-thirds
Option A
B
StartFraction 6 over 9 EndFraction
Option B
C
Three-halves
Option C
D
StartFraction 9 over 6 EndFraction
Option D
8

The first number in an ordered pair of numbers that corresponds to a point on a coordinate system is the

A
x-value.
B
y-value.
C
constant of proportionality.
D
unit rate.
9

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10

Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?

A
$20.00
B
$60.00
C
$70.00
D
$110.00
11

The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of money collected from book sales. Book Sales RevenueWhat is the constant of proportionality?

Question illustration
A
0.67
B
1
C
1.5
D
2
12

A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm). xy00153306Assuming there is a proportional relationship, which additional set of values could be included in the table?

A
(10, 2)
B
(40, 9)
C
(50, 38)
D
(100, 76)
13

Which table shows a constant of proportionality of 2 for the ratio of string instruments to percussion instruments?

A
mc012-1.jpg
Option A
B
mc012-2.jpg
Option B
C
mc012-3.jpg
Option C
D
mc012-4.jpg
Option D
14

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Answer not available
15

Sasha noticed that the graph of the sales of yearbooks represented a proportional relationship. How could she have calculated the constant of proportionality by looking at the graph?

A
She could divide any y-value by its corresponding x-value.
B
She could divide any x-value by its corresponding y-value.
C
She could add any y-value to its corresponding x-value.
D
She could subtract any x-value from its corresponding y-value.
16

This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes. CubesBoxesNumber of cubes1n562581,000What is the unknown value representing the unit rate?

A
8
B
125
C
140
D
156

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