Question

as you answer the questions below, consider the relationship between scale factor and a 1:k scale.

1. make a prediction: on a map, will objects appear larger as the value of k becomes larger on a 1:k scale?

scaled factor: (k) a conversion factor/ number that changes the size (scales, duh!) aan object without changing the sl the object
the objects on a map would nod
open google maps, and find your school. in the bottom right - hand corner, there is a scale.

1. zoom in and out. pay attention to the scale bar, and answer the questions below.

a. does the scale bar change size?
the scale bar does change size
b. what happens to the size of your school on the map when you zoom in? note the scale.

Explanation:

Step1: Analyze the scale factor concept

On a \(1:k\) scale, the scale factor is \(\frac{1}{k}\). As \(k\) increases, \(\frac{1}{k}\) decreases.

Step2: Relate to map objects

Since the scale factor \(\frac{1}{k}\) (which is used to represent real - world objects on the map) gets smaller as \(k\) gets larger, objects on the map will appear smaller.

Step3: Answer part (a)

When you zoom in and out on Google Maps, the scale bar changes size. This is because the scale (the relationship between map distance and real - world distance) is being adjusted.

Step4: Answer part (b)

When you zoom in on Google Maps, the size of your school on the map appears larger. This is because the scale is changing to show a more detailed (and in a sense, "magnified") view of the area.

Answer:

1. No, objects will appear smaller as \(k\) becomes larger on a \(1:k\) scale.

a. Yes, the scale bar changes size.
b. The size of the school on the map appears larger when you zoom in.