Question

An advertiser needs a 6-inch picture of a 13-foot automobile. What is the scale factor of the reduction?

a) 1:2
b) 1:4
c) 1:26
d) 2:1

Answer 1

c) 1:26

The scale factor of the reduction is 1:26.

Step-by-step explanation:

The scale factor of the reduction is 1:4.

To find the scale factor, we need to compare the dimension of the picture to the actual dimension of the automobile.

In this case, the picture is 6 inches and the automobile is 13 feet.

We can convert the units to make the comparison easier. Since there are 12 inches in a foot, the picture is 6/12 = 1/2 foot. So the scale factor is 1/2:13.

To simplify the scale factor, we can divide both parts by 1/2:

1/2 ÷ 1/2 = 1

13 ÷ 1/2 = 26

Therefore, the scale factor of the reduction is 1:26.

The correct answer is option c) 1:26.