Question

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 1

option d

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

Answer 2

Option D. Reduced by a factor of
`(1/3)`

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

`z=(x)/(y)`

we know that

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

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

In this problem we have

`z=1/3` ------> is a reduction

substitute

`1/3=(x)/(y)`

`x=(1/3)y` ------> reduced by a factor of
`(1/3)`