Finding a Percent of a Number Answers

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The scale drawing of a rectangular room will be enlarged by a scale factor of 4 to create the actual room. The actual area of the room will be 150 square feet. Which expression finds the area of the scale drawing?

A
StartFraction 4 squared over 150 squared EndFraction
Option A
B
StartFraction 4 squared over 150 EndFraction
Option B
C
StartFraction 150 over 4 squared EndFraction
Option C
D
StartFraction 150 over 4 EndFraction
Option D
2
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The diagram represents the enlargement of a rectangle by using a scale factor of 6. What are the dimensions of the original rectangle?

Question illustration
A
5 feet by 1 foot
B
5 feet by 6 feet
C
25 feet by 1 foot
D
180 feet by 36 feet
3

Which is the scale factor proportion for the reduction shown?

Question illustration
A
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
Option A
B
StartFraction original height over original base EndFraction = StartFraction reduction height over original base EndFraction
Option B
C
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Option C
D
StartFraction original height over reduction base EndFraction = StartFraction original base over reduction height EndFraction
Option D
4

The constant of proportionality for the amount of electricity in kilowatt hours and the cost per kilowatt hour is $0.11. Which graph models this situation?

A
A line graph titled Electricity Cost has Kilowatt hours on the x-axis and Cost in dollars on the y-axis. 100 Kilowatt hours is 11 dollars; 250, 27 dollars and 50 cents.
Option A
B
A line graph titled Electricity Cost has Kilowatt hours on the x-axis and Cost in dollars on the y-axis. 100 Kilowatt hours is 9 dollars; 250, 22 dollars and 50 cents.
Option B
C
A line graph titled Electricity Cost has Kilowatt hours on the x-axis and Cost in dollars on the y-axis. 100 Kilowatt hours is 12 dollars; 250, 30 dollars.
Option C
D
A line graph titled Electricity Cost has Kilowatt hours on the x-axis and Cost in dollars on the y-axis. 100 Kilowatt hours is 13 dollars; 250, 32 dollars and 50 cents.
Option D
5

Which ordered pair would form a proportional relationship with the point graphed below?

Question illustration
A
(10, –20)
B
(–30, 20)
C
(–10, 5)
D
(35, –20)
6

Which table of ordered pairs represents a proportional relationship?

A
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 4, negative 6. Column 2 is labeled y with entries 4, 16, 36.
Option A
B
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 4, negative 6, negative 8. Column 2 is labeled y with entries negative 8, negative 12, negative 18.
Option B
C
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 5, negative 7. Column 2 is labeled y with entries 5, 3, 1.
Option C
D
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 6, negative 9. Column 2 is labeled y with entries 12, 24, 36.
Option D
7

The cost of toothpaste is $6.00 for 3 tubes. At this rate, how much do 12 tubes of toothpaste cost?

A
$15.00
B
$24.00
C
$36.00
D
$72.00
8

Why is a solution to the proportion ?

Question illustration
A
because 192 divided by 32 is equal to 6
B
because 192 divided by 36 is equal to 6
C
because if you substitute 6 into the equation for x and cross multiply, you get
Option C
D
because if you substitute 6 into the equation for x and cross multiply, you get
Option D
9

A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe?

A
8 to 3
B
StartFraction 3 over 8 EndFraction
Option B
C
3 to 11
D
8:3
10

Gigi makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes.Which shows the correct dimensions of the rectangle in both scales?

Question illustration
A
Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft
B
Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft
C
Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft
D
Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft
11

If a scale factor of is used to make a reduction, what is the base of the original triangle? Original triangleReduced triangleHeight 3Base 5

Question illustration
A
1
B
10
C
15
D
25
12

Consider the reduction of the rectangle. Not drawn to scaleRounded to the nearest tenth, what is the value of x?

Question illustration
A
0.1 feet
B
0.6 feet
C
1.6 feet
D
2.0 feet
13

Simon is trying to figure out how much it will cost to buy 30 cases of water for a school picnic. How much will Simon pay for 30 cases of water? Water Prices by the CaseNumber of casesPrice in dollars1566.002088.0035154.00

A
$99.00
B
$119.00
C
$121.00
D
$132.00
14

The triangle below has been reduced by a scale of 0.4. What is the area of the reduced triangle?

Question illustration
A
24 centimeters squared
Option A
B
60 centimeters squared
Option B
C
75 centimeters squared
Option C
D
375 centimeters squared
Option D
15

Each batch of Blueberry Breakfast Treats will make 12 muffins. Mrs. Penney wants to make enough muffins for each of the 35 students in her math club and herself to have one.Blueberry Breakfast TreatsNumber of Batches1234Cups of Blueberries------If she does not want any leftovers, which point should Mrs. Penney use to determine the amount of blueberries she will need to make her muffins?

Question illustration
A
A
B
B
C
C
D
D
16

Sienna planned a rectangular pool, as shown in the scale drawing below.Sienna used the scale drawing above to create a pool that is 14 ft wide 22 ft long. She then decided to make a pool with a final length of 33 ft. Which expression finds the change in scale factor for the longer pool Sienna is building?

Question illustration
A
StartFraction 11 inches over 27.5 feet EndFraction
Option A
B
StartFraction 22 feet over 11 inches EndFraction
Option B
C
StartFraction 22 feet over 27.5 feet EndFraction
Option C
D
StartFraction 27.5 feet over 22 feet EndFraction
Option D
17

Miguel babysits for 3 hours and earns $15. Which represents the unit rate?

A
$1 per 5 hours
B
$15 per hour
C
1 hour per $5
D
$5 per hour
18

If there are 5 apples to every 3 oranges in a bin, which graph represents the proportional relationship of the fruit in the bin?

A
On a coordinate plane, a graph titled Fruit bin has apples on the x-axis and oranges on the y-axis. Points (3, 5) and (6, 10) are plotted.
Option A
B
On a coordinate plane, a graph titled Fruit bin has apples on the x-axis and oranges on the y-axis. Points (4, 3) and (8, 6) are plotted.
Option B
C
On a coordinate plane, a graph titled Fruit bin has apples on the x-axis and oranges on the y-axis. Points (8, 3) and (16, 6) are plotted.
Option C
D
On a coordinate plane, a graph titled Fruit bin has apples on the x-axis and oranges on the y-axis. Points (5, 3) and (10, 6) are plotted.
Option D
19

Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14 inches high. The new photo will be 132 inches wide. What will the new height be? Round to the nearest inch if necessary.

A
104 inches
B
146 inches
C
154 inches
D
168 inches
20

How can you solve for x in the proportion ?

Question illustration
A
Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x.
B
Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.
C
Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.
D
Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

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