A scale factor of 0.97 indicates an enlargement.
Select one:
True
False
False
The length of a photograph is 5 inches. The photograph was enlarged. The new length of the photograph is 7 inches. Fill in the formula for the scale factor (k) below, then complete the calculation to find the scale factor.
Background image for dragging markers onto blank blank blank blank blank
New Length50.717Original Length1.4
The formula for the scale factor (k) is:
k = New Length / Original Length
Given that the new length of the photograph is 7 inches and the original length is 5 inches, we can substitute these values into the formula:
k = 7 / 5
And the calculation is:
k = 1.4
Therefore, the scale factor is 1.4.
The radius of a circle was 6.8 cm. It was changed by a factor of 5:2.
Is this change and enlargement or a reduction? Answer
*enter e for enlargement, enter r for reduction
A proportion can be used to solve for the new radius. Fill in the value or variable that should be in the place of a and b.
L e t space x space equals space t h e space n e w space r a d i u s
5 over 2 equals a over b
a = Answer
b = Answer
The change from a radius of 6.8 cm to the new radius can be determined using the proportion 5/2 = a/b. To find the values of 'a' and 'b', we can substitute the given values:
a = 5
b = 2
Therefore, the proportion can be written as:
5/2 = 5/b
To solve for 'b', we can cross-multiply:
5b = 10
Dividing both sides by 5:
b = 2
So, 'a' is equal to 5 and 'b' is equal to 2.
The side length of an octagon was changed to 9.3 cm. It was changed by a factor of 7:5.
Is this change and enlargement or a reduction? Answer
*enter e for enlargement, enter r for reduction
A proportion can be used to solve for the original side length. Fill in the value or variable that should be in the place of a and b.
L e t space x space equals space t h e space o r i g i n a l space s i d e space l e n g t h
7 over 5 equals a over b
a = Answer
b = Answer
The change from an original side length to a side length of 9.3 cm can be determined using the proportion 7/5 = a/b. To find the values of 'a' and 'b', we can substitute the given values:
a = 7
b = 5
Therefore, the proportion can be written as:
7/5 = a/b
To solve for 'b', we can cross-multiply:
5a = 7(9.3)
Dividing both sides by 5:
a = (7(9.3))/5
Calculating the value of 'a':
a ≈ 13.02
So, 'a' is approximately 13.02 and 'b' is equal to 5.
Complete the table below.
Original Measurement Scale Factor New Measurement Enlargement? Reduction?
28 cm 4:5 blank blank blank
14 cm 1.5 blank blank blank
21 cm 2 over 3 blank blank blank
14 cm 8 over 7
blank blank blank
27 cm 80% blank blank blank
14 cm 16 cm 21 cm 28 cm 21.6 cm no 22.4 cm yes
Original Measurement Scale Factor New Measurement Enlargement? Reduction?
28 cm 4:5 22.4 cm Yes No
14 cm 1.5 21 cm Yes No
21 cm 2/3 14 cm No Yes
14 cm 8/7 16 cm Yes No
27 cm 80% 21.6 cm Yes No
A builder plans to draw a set of house plans using the scale 1:200. On the plans the west side of the house is 12.0 cm long. What is the real length of this house in metres?
Select one:
a.
6 m
b.
2400 m
c.
0.06 cm
d.
24 m
To find the real length of the house, we need to use the scale factor of 1:200.
The scale factor tells us that every 1 cm on the plan represents 200 cm in real life.
Since the length of the west side of the house on the plan is 12.0 cm, we can use the scale factor to find the real length:
Real Length = Plan Length / Scale Factor
Real Length = 12.0 cm / 200
Real Length = 0.06 cm
Therefore, the real length of the house is 0.06 cm. The correct option is c.
The dimensions of scale model of a Porche 718 Cayman are shown below.
If the actual height of the car is 51 inches, what is the scale factor used to created this model in ratio form in lowest terms?
*1 inch = 2.54 cm
Answer 1
Choose...
Use the scale factor to find the actual length of the car in metres.
Answer 2
Choose...
Use the scale factor to find the actual width of the car in metres.
Answer 3
Choose...
To find the scale factor used to create the model, we need to compare the actual height of the car (51 inches) with the height of the scale model (8 inches).
The scale factor can be found by dividing the actual height by the height of the model:
Scale Factor = Actual Height / Model Height
Scale Factor = 51 inches / 8 inches
To convert inches to centimeters, we can use the conversion factor given: 1 inch = 2.54 cm.
Scale Factor = (51 inches * 2.54 cm/inch) / (8 inches * 2.54 cm/inch)
Simplifying, we get:
Scale Factor = 1.59
Therefore, the scale factor used to create the model in lowest terms is 1.59.
Rebecca is creating a scale drawing of her cell phone. She measured the width of her cell phone with a ruler and found it to be 7.2 cm wide. If Rebecca is going to use a scale factor of 300% for her drawing. What is is the scale factor (in lowest terms) in the form a over b that she can use to find the width of her phone on the drawing? What is the width of her phone on the drawing?
a = Answer
b = Answer
The width of Rebecca's phone on the drawing will be Answer
cm.
To find the scale factor, we need to determine the ratio between the actual width of Rebecca's phone and the width of the phone on the drawing.
The actual width of Rebecca's phone is given as 7.2 cm.
To find the scale factor as a percentage, we can subtract 100% from the given scale factor of 300%:
Scale Factor = 300% - 100% = 200% = 2
Therefore, the scale factor in lowest terms, expressed as a ratio, is 2:1.
To find the width of Rebecca's phone on the drawing, we can multiply the actual width by the scale factor:
Width on the drawing = Actual width * Scale factor
Width on the drawing = 7.2 cm * 2
Width on the drawing = 14.4 cm
Therefore, the width of Rebecca's phone on the drawing will be 14.4 cm.
The scale drawing for a garage show the garage width to be 5 inches. The actual with of the garage is 20 feet. What was the scale factor that was used on the plan?
*Recall that there are 12 inches in a foot
When the scale factor is written in the simplest form as a over b, the values of a and b are as follows.
a = Answer
b = Answer
The scale factor written as a percent to the nearest whole number is Answer
%
To find the scale factor used on the plan, we need to compare the width of the garage on the plan (5 inches) with the actual width of the garage (20 feet).
To compare these measurements, we need to convert the units. Since there are 12 inches in a foot, the width of the garage in feet is:
Width = 20 feet * 12 inches/foot = 240 inches.
The scale factor can be found by dividing the actual width by the width on the plan:
Scale Factor = Actual Width / Width on the plan
Scale Factor = 240 inches / 5 inches = 48.
Therefore, the scale factor used on the plan is 48.
Expressed in its simplest form as a ratio, the scale factor is:
a = 48
b = 1
The scale factor as a percent to the nearest whole number is given by multiplying the ratio by 100:
Scale Factor as a percent = 48 * 100 = 4800%.
Therefore, the scale factor as a percent to the nearest whole number is 4800%.