Changing a Scale — Unit test Answers

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What is the change in the scale factor from the old scale to the new scale?

Question illustration
A
1 to 3
B
1 to 2.2
C
2.2 to 1
D
3 to 1
2
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Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.Which is Zelie’s error?

Question illustration
A
Zelie should have divided both numbers by 14.
B
Zelie should have written the ratio as .
Option B
C
Zelie should have written the ratio as .
Option C
D
Zelie should have subtracted 14 from both numbers.
3

A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. Josh decides to make the house addition smaller, and he changes the scale of the drawing to 1 in. = 1.1 ft. What is the change in the scale factor from the old scale to the new scale?

A
One-third
Option A
B
Two-thirds
Option B
C
2.2
D
3
4

Eveline made a scale drawing of a patio she is planning to build.Which proportion could Eveline use to find the length of side A?

Question illustration
A
StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 13 centimeters over x meters EndFraction
Option A
B
StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction
Option B
C
StartFraction 12 centimeters over 2.5 meters EndFraction = StartFraction x centimeters over 1 meter EndFraction
Option C
D
StartFraction 1 centimeter over 12 meters EndFraction = StartFraction 2.5 centimeters over x meters EndFraction
Option D
5

Missi designed a stained glass window and made a scale drawing using centimeters as the unit of measurement. She originally planned for the length of the window to be 44 in. but decided to change it to 48 in. If the length of the window in her scale drawing is 4 cm, which statement about the change of scale is true?

A
One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale.
B
One cm represented 44 in. in the first scale, but now 1 cm represents 48 in. in the second scale.
C
One cm represented 1 in. in the first scale, but now 1 cm represents 1 in. in the second scale.
D
One cm represented 12 in. in the first scale, but now 1 cm represents 11 in. in the second scale.
6

Rihanna planned a rectangular courtyard for a park and made a scale drawing using inches as the unit of measurement. She originally planned for the length of the actual courtyard to be 54 feet, but she decided to change it to 72 feet. If the length of the courtyard is 18 inches in her scale drawing, which statement about the change of scale is true?

A
One inch represented 1 foot in the first scale, but now 1 inch represents 4 feet in the second scale.
B
One inch represented 4 feet in the first scale, but now 1 inch represents 3 feet in the second scale.
C
One inch represented 54 feet in the first scale, but now 1 inch represents 72 feet in the second scale.
D
One inch represented 3 feet in the first scale, but now 1 inch now represents 4 feet in the second scale.
7

Sienna planned a trapezoid-shaped garden, as shown in the drawing below.She decides to change the length of the top of the trapezoid-shaped garden from 32 ft to 24 ft. Which expression finds the change in the scale factor?

Question illustration
A
StartFraction 4 inches over 24 feet EndFraction
Option A
B
StartFraction 32 feet over 4 inches EndFraction
Option B
C
StartFraction 24 feet over 32 feet EndFraction
Option C
D
StartFraction 32 feet over 24 feet EndFraction
Option D

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