Question

Alisha is drawing a map of her school. She is not able to draw the map to scale because it would be too large. Each centimeter on the map equals 4 meters. Which graph shows the correct relationship between the distance in centimeters and in meters? (5 points)

Answer 1

Here we want to see which one of the given graphs is the one with the correct relationship between distance in centimeters and meters. We will see that the correct option is the first graph.

Working with changes of scale.

So we know that each centimeter on the map must represent 4 meters in reality, this is a change of scale, so the scale is:

1cm = 4m

First, this relation is linear (each centimeter will always be equal to 4 meters) so the two bottom options that are not linear can be discarded, so we only have the first and second graph.

If you read them, you can see that in the second one 1 meter is equivalent to something near 5 cm, so this is also incorrect.

The only graph that shows a correct scale is the first one, where for each increment of 1 unit on the horizontal axis (the one in centimeters) we have an increase of 4 m (estimated). This means that 1cm = 4m, as in our change of scale.

So the correct option is the first graph.

If you want to learn more about changes of scale, you can read:

brainly.com/question/9302261