slope as unit rate practice

centimeters per inch
use the graph to determine the number of centimers in 1 inch.

there are _ centimeters in 1 inch.

1 answer

In order to determine the number of centimeters in 1 inch, we need to find the slope of the graph.

The slope of a graph represents the ratio of the vertical change (y-axis) to the horizontal change (x-axis). In this graph, the vertical change represents the number of centimeters and the horizontal change represents the number of inches.

Let's say that for every inch, there are x centimeters. The slope can be calculated by dividing the vertical change (centimeters) by the horizontal change (inches):
Slope = vertical change / horizontal change

Looking at the graph, we can see that for every 2 inches, there is an increase of 5 centimeters. Therefore, the slope can be calculated as:
Slope = 5 centimeters / 2 inches

Reducing this fraction, we get:
Slope = 2.5 centimeters / 1 inch

So, there are 2.5 centimeters in 1 inch.