Question

1. practice the factor you use to create proportional change is called the scale factor. answer the following questions about the effects of different scale factors.

a. name some examples of scale factors that are less than 1. what effect does a scale factor less than 1 have on the dimensions of the image being scaled?
b. name some examples of scale factors that are equal to 1. what effect does a scale factor equal to 1 have on the dimensions of the image being scaled?
c. name some examples of scale factors that are greater than 1. what effect does a scale factor greater than 1 have on the dimensions of the image being scaled?

Explanation:

Step1: Provide examples for scale - factor less than 1

Examples include 0.5, 0.25, 0.1. When the scale factor \(k<1\), if the original dimension of an object is \(x\), the new dimension after scaling is \(y = kx\). Since \(k < 1\), \(y

Step2: Provide examples for scale - factor equal to 1

The number 1 itself is an example. When the scale factor \(k = 1\), if the original dimension of an object is \(x\), the new dimension after scaling is \(y=kx=x\). So it has no effect on the dimensions of the image being scaled.

Step3: Provide examples for scale - factor greater than 1

Examples include 2, 3, 1.5. When the scale factor \(k>1\), if the original dimension of an object is \(x\), the new dimension after scaling is \(y = kx\). Since \(k>1\), \(y > x\). So it increases the dimensions of the image being scaled.

Answer:

a. Examples: 0.5, 0.25, 0.1. Effect: Reduces the dimensions of the image.
b. Examples: 1. Effect: No effect on the dimensions of the image.
c. Examples: 2, 3, 1.5. Effect: Increases the dimensions of the image.