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A rectangular magazine cover is photocopied by using a scale factor of 1/3. The length of the photocopy of the magazine cover is.
A)Enlarge by a factor of three
B)Enlarged by a factor of 1/3
C)Reduced by a factor of three
D)Reduced by a factor of 1/3

Answer :

calculista

Answer:

Option D. Reduced by a factor of [tex](1/3)[/tex]

Step-by-step explanation:

we know that

The scale factor is equal to divide the length of the photocopy of the magazine cover by the length of the original magazine cover

Let

z-----> the scale factor

x------> the length of the photocopy of the magazine cover

y-----> the length of the original magazine cover

so

[tex]z=\frac{x}{y}[/tex]

we know that

If z > 1 ---------> is an enlargement

If z<1 ------> is a reduction

In this problem we have

[tex]z=1/3[/tex] ------> is a reduction

substitute

[tex]1/3=\frac{x}{y}[/tex]

[tex]x=(1/3)y[/tex] ------> reduced by a factor of [tex](1/3)[/tex]

Answer:

option d

Step-by-step explanation:

we know that

The scale factor is equal to divide the length of the photocopy of the magazine cover by the length of the original magazine cover

Let

z-----> the scale factor

x------> the length of the photocopy of the magazine cover

y-----> the length of the original magazine cover

so

we know that

If z > 1 ---------> is an enlargement

If z<1 ------> is a reduction

In this problem we have

------> is a reduction

substitute

------> reduced by a factor of 1/3

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