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?

StartFraction 4 squared over 150 squared EndFraction

StartFraction 4 squared over 150 EndFraction

StartFraction 150 over 4 squared EndFraction

StartFraction 150 over 4 EndFraction

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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?

5 feet by 1 foot

5 feet by 6 feet

25 feet by 1 foot

180 feet by 36 feet

Which is the scale factor proportion for the reduction shown?

StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction

StartFraction original height over original base EndFraction = StartFraction reduction height over original base EndFraction

StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction

StartFraction original height over reduction base EndFraction = StartFraction original base over reduction height EndFraction

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 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.

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.

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.

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.

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

(10, –20)

(–30, 20)

(–10, 5)

(35, –20)

Which table of ordered pairs represents a proportional relationship?

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.

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.

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.

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.

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

$15.00

$24.00

$36.00

$72.00

Why is a solution to the proportion ?

because 192 divided by 32 is equal to 6

because 192 divided by 36 is equal to 6

because if you substitute 6 into the equation for x and cross multiply, you get

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

8 to 3

StartFraction 3 over 8 EndFraction

3 to 11

8:3

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?

Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft

Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft

Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft

Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft

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

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

0.1 feet

0.6 feet

1.6 feet

2.0 feet

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

$99.00

$119.00

$121.00

$132.00

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

24 centimeters squared

60 centimeters squared

75 centimeters squared

375 centimeters squared

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?

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?

StartFraction 11 inches over 27.5 feet EndFraction

StartFraction 22 feet over 11 inches EndFraction

StartFraction 22 feet over 27.5 feet EndFraction

StartFraction 27.5 feet over 22 feet EndFraction

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

$1 per 5 hours

$15 per hour

1 hour per $5

$5 per hour

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

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.

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.

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.

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.

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.

104 inches

146 inches

154 inches

168 inches

How can you solve for x in the proportion ?

Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x.

Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.

Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.

Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Tara reads at a rate of 15 pages per day. Which table represents this relationship?Table ANumber of DaysNumber of Pages115230345Table BNumber of DaysNumber of Pages151302453Table CNumber of DaysNumber of Pages115225335Table DNumber of DaysNumber of Pages151252353

Table A

Table B

Table C

Table D

Michel uses the scale drawing and the scale factor to enlarge a square that has a side length of 12 in.Which proportion could Michel use to solve the side length, x, of the enlarged square?

StartFraction 3 inches over 2 meters EndFraction = StartFraction x meters over 12 inches EndFraction

StartFraction x inches over 2 meters EndFraction = StartFraction 3 inches over 12 meters EndFraction

StartFraction 3 inches over x meters EndFraction = StartFraction 2 meters over 12 inches EndFraction

StartFraction 3 inches over 2 meters EndFraction = StartFraction 12 inches over x meters EndFraction

Which graph represents a proportional relationship?

On a coordinate plane, a straight line with positive slope goes through points (0, 0), (1, 2), and (2, 4).

On a coordinate plane, a vertical line is at x = negative 3.

On a coordinate plane, a horizontal line is at y = 3.

On a coordinate plane, a curved line goes through the origin.

At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?

2:3

3 to 2

StartFraction 5 Over 3 EndFraction

3 to 5

The rectangle below has been reduced by a scale of . [Not drawn to scale]What is the area of the reduced rectangle?

0.18 square units

1.8 square units

18 square units

180 square units

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